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Finding the Third Proportional to 47,712 and 63,085

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Solution

The third proportional to 47,712 and 63,085 is: 83,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 63,085 = 63,085 : x
  2. Step 2: Convert to fraction form
    47,712/63,085 = 63,085/x
  3. Step 3: Cross multiply
    47,712x = 63,085 × 63,085
  4. Step 4: Simplify right side
    47,712x = 3,979,717,225
  5. Step 5: Solve for x
    x = 3,979,717,225/47,712
  6. Step 6: Final answer
    x = 83,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.