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Finding the Third Proportional to 28,659 and 61,008

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Solution

The third proportional to 28,659 and 61,008 is: 129,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,659 : 61,008 = 61,008 : x
  2. Step 2: Convert to fraction form
    28,659/61,008 = 61,008/x
  3. Step 3: Cross multiply
    28,659x = 61,008 × 61,008
  4. Step 4: Simplify right side
    28,659x = 3,721,976,064
  5. Step 5: Solve for x
    x = 3,721,976,064/28,659
  6. Step 6: Final answer
    x = 129,871.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.