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Finding the Third Proportional to 8,077.50 and 17,493.75

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Solution

The third proportional to 8,077.50 and 17,493.75 is: 37,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.50 : 17,493.75 = 17,493.75 : x
  2. Step 2: Convert to fraction form
    8,077.50/17,493.75 = 17,493.75/x
  3. Step 3: Cross multiply
    8,077.50x = 17,493.75 × 17,493.75
  4. Step 4: Simplify right side
    8,077.50x = 306,031,289.06
  5. Step 5: Solve for x
    x = 306,031,289.06/8,077.50
  6. Step 6: Final answer
    x = 37,886.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.