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Finding the Third Proportional to 37,197 and 56,666.25

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Solution

The third proportional to 37,197 and 56,666.25 is: 86,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197 : 56,666.25 = 56,666.25 : x
  2. Step 2: Convert to fraction form
    37,197/56,666.25 = 56,666.25/x
  3. Step 3: Cross multiply
    37,197x = 56,666.25 × 56,666.25
  4. Step 4: Simplify right side
    37,197x = 3,211,063,889.06
  5. Step 5: Solve for x
    x = 3,211,063,889.06/37,197
  6. Step 6: Final answer
    x = 86,325.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.