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Finding the Third Proportional to 14,574.84 and 23,202.97

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Solution

The third proportional to 14,574.84 and 23,202.97 is: 36,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.84 : 23,202.97 = 23,202.97 : x
  2. Step 2: Convert to fraction form
    14,574.84/23,202.97 = 23,202.97/x
  3. Step 3: Cross multiply
    14,574.84x = 23,202.97 × 23,202.97
  4. Step 4: Simplify right side
    14,574.84x = 538,377,821.13
  5. Step 5: Solve for x
    x = 538,377,821.13/14,574.84
  6. Step 6: Final answer
    x = 36,938.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.