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Finding the Third Proportional to 47,712 and 71,328

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Solution

The third proportional to 47,712 and 71,328 is: 106,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 71,328 = 71,328 : x
  2. Step 2: Convert to fraction form
    47,712/71,328 = 71,328/x
  3. Step 3: Cross multiply
    47,712x = 71,328 × 71,328
  4. Step 4: Simplify right side
    47,712x = 5,087,683,584
  5. Step 5: Solve for x
    x = 5,087,683,584/47,712
  6. Step 6: Final answer
    x = 106,633.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.