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Finding the Third Proportional to 29,468 and 60,664

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Solution

The third proportional to 29,468 and 60,664 is: 124,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468 : 60,664 = 60,664 : x
  2. Step 2: Convert to fraction form
    29,468/60,664 = 60,664/x
  3. Step 3: Cross multiply
    29,468x = 60,664 × 60,664
  4. Step 4: Simplify right side
    29,468x = 3,680,120,896
  5. Step 5: Solve for x
    x = 3,680,120,896/29,468
  6. Step 6: Final answer
    x = 124,885.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.