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Finding the Third Proportional to 12,916.97 and 17,530.17

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Solution

The third proportional to 12,916.97 and 17,530.17 is: 23,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.97 : 17,530.17 = 17,530.17 : x
  2. Step 2: Convert to fraction form
    12,916.97/17,530.17 = 17,530.17/x
  3. Step 3: Cross multiply
    12,916.97x = 17,530.17 × 17,530.17
  4. Step 4: Simplify right side
    12,916.97x = 307,306,925.97
  5. Step 5: Solve for x
    x = 307,306,925.97/12,916.97
  6. Step 6: Final answer
    x = 23,790.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.