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Finding the Third Proportional to 10,565.16 and 16,350.75

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Solution

The third proportional to 10,565.16 and 16,350.75 is: 25,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.16 : 16,350.75 = 16,350.75 : x
  2. Step 2: Convert to fraction form
    10,565.16/16,350.75 = 16,350.75/x
  3. Step 3: Cross multiply
    10,565.16x = 16,350.75 × 16,350.75
  4. Step 4: Simplify right side
    10,565.16x = 267,347,025.56
  5. Step 5: Solve for x
    x = 267,347,025.56/10,565.16
  6. Step 6: Final answer
    x = 25,304.60

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Why These Related Problems?

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