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Finding the Third Proportional to 34,721 and 74,716

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Solution

The third proportional to 34,721 and 74,716 is: 160,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,721 : 74,716 = 74,716 : x
  2. Step 2: Convert to fraction form
    34,721/74,716 = 74,716/x
  3. Step 3: Cross multiply
    34,721x = 74,716 × 74,716
  4. Step 4: Simplify right side
    34,721x = 5,582,480,656
  5. Step 5: Solve for x
    x = 5,582,480,656/34,721
  6. Step 6: Final answer
    x = 160,781.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.