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Finding the Third Proportional to 10,648.69 and 16,471.69

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Solution

The third proportional to 10,648.69 and 16,471.69 is: 25,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.69 : 16,471.69 = 16,471.69 : x
  2. Step 2: Convert to fraction form
    10,648.69/16,471.69 = 16,471.69/x
  3. Step 3: Cross multiply
    10,648.69x = 16,471.69 × 16,471.69
  4. Step 4: Simplify right side
    10,648.69x = 271,316,489.10
  5. Step 5: Solve for x
    x = 271,316,489.10/10,648.69
  6. Step 6: Final answer
    x = 25,478.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.