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Finding the Third Proportional to 37,897.88 and 78,225.75

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Solution

The third proportional to 37,897.88 and 78,225.75 is: 161,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.88 : 78,225.75 = 78,225.75 : x
  2. Step 2: Convert to fraction form
    37,897.88/78,225.75 = 78,225.75/x
  3. Step 3: Cross multiply
    37,897.88x = 78,225.75 × 78,225.75
  4. Step 4: Simplify right side
    37,897.88x = 6,119,267,963.06
  5. Step 5: Solve for x
    x = 6,119,267,963.06/37,897.88
  6. Step 6: Final answer
    x = 161,467.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.