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Finding the Third Proportional to 15,710.20 and 34,188.96

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Solution

The third proportional to 15,710.20 and 34,188.96 is: 74,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.20 : 34,188.96 = 34,188.96 : x
  2. Step 2: Convert to fraction form
    15,710.20/34,188.96 = 34,188.96/x
  3. Step 3: Cross multiply
    15,710.20x = 34,188.96 × 34,188.96
  4. Step 4: Simplify right side
    15,710.20x = 1,168,885,049.99
  5. Step 5: Solve for x
    x = 1,168,885,049.99/15,710.20
  6. Step 6: Final answer
    x = 74,402.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.