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Finding the Third Proportional to 22,428 and 29,841.75

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Solution

The third proportional to 22,428 and 29,841.75 is: 39,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428 : 29,841.75 = 29,841.75 : x
  2. Step 2: Convert to fraction form
    22,428/29,841.75 = 29,841.75/x
  3. Step 3: Cross multiply
    22,428x = 29,841.75 × 29,841.75
  4. Step 4: Simplify right side
    22,428x = 890,530,043.06
  5. Step 5: Solve for x
    x = 890,530,043.06/22,428
  6. Step 6: Final answer
    x = 39,706.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.