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Finding the Third Proportional to 29,728 and 61,560

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Solution

The third proportional to 29,728 and 61,560 is: 127,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728 : 61,560 = 61,560 : x
  2. Step 2: Convert to fraction form
    29,728/61,560 = 61,560/x
  3. Step 3: Cross multiply
    29,728x = 61,560 × 61,560
  4. Step 4: Simplify right side
    29,728x = 3,789,633,600
  5. Step 5: Solve for x
    x = 3,789,633,600/29,728
  6. Step 6: Final answer
    x = 127,476.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.