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Finding the Third Proportional to 10,665.56 and 23,192.53

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Solution

The third proportional to 10,665.56 and 23,192.53 is: 50,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.56 : 23,192.53 = 23,192.53 : x
  2. Step 2: Convert to fraction form
    10,665.56/23,192.53 = 23,192.53/x
  3. Step 3: Cross multiply
    10,665.56x = 23,192.53 × 23,192.53
  4. Step 4: Simplify right side
    10,665.56x = 537,893,505.78
  5. Step 5: Solve for x
    x = 537,893,505.78/10,665.56
  6. Step 6: Final answer
    x = 50,432.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.