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Finding the Third Proportional to 12,916.97 and 18,964.59

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Solution

The third proportional to 12,916.97 and 18,964.59 is: 27,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.97 : 18,964.59 = 18,964.59 : x
  2. Step 2: Convert to fraction form
    12,916.97/18,964.59 = 18,964.59/x
  3. Step 3: Cross multiply
    12,916.97x = 18,964.59 × 18,964.59
  4. Step 4: Simplify right side
    12,916.97x = 359,655,663.31
  5. Step 5: Solve for x
    x = 359,655,663.31/12,916.97
  6. Step 6: Final answer
    x = 27,843.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.