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Finding the Third Proportional to 48,017 and 72,688

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Solution

The third proportional to 48,017 and 72,688 is: 110,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017 : 72,688 = 72,688 : x
  2. Step 2: Convert to fraction form
    48,017/72,688 = 72,688/x
  3. Step 3: Cross multiply
    48,017x = 72,688 × 72,688
  4. Step 4: Simplify right side
    48,017x = 5,283,545,344
  5. Step 5: Solve for x
    x = 5,283,545,344/48,017
  6. Step 6: Final answer
    x = 110,034.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.