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Finding the Third Proportional to 17,414.84 and 26,160.71

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Solution

The third proportional to 17,414.84 and 26,160.71 is: 39,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.84 : 26,160.71 = 26,160.71 : x
  2. Step 2: Convert to fraction form
    17,414.84/26,160.71 = 26,160.71/x
  3. Step 3: Cross multiply
    17,414.84x = 26,160.71 × 26,160.71
  4. Step 4: Simplify right side
    17,414.84x = 684,382,541.28
  5. Step 5: Solve for x
    x = 684,382,541.28/17,414.84
  6. Step 6: Final answer
    x = 39,298.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.