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Finding the Third Proportional to 17,688.38 and 23,616.56

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Solution

The third proportional to 17,688.38 and 23,616.56 is: 31,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.38 : 23,616.56 = 23,616.56 : x
  2. Step 2: Convert to fraction form
    17,688.38/23,616.56 = 23,616.56/x
  3. Step 3: Cross multiply
    17,688.38x = 23,616.56 × 23,616.56
  4. Step 4: Simplify right side
    17,688.38x = 557,742,024.32
  5. Step 5: Solve for x
    x = 557,742,024.32/17,688.38
  6. Step 6: Final answer
    x = 31,531.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.