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Finding the Third Proportional to 10,613.25 and 16,365.38

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Solution

The third proportional to 10,613.25 and 16,365.38 is: 25,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.25 : 16,365.38 = 16,365.38 : x
  2. Step 2: Convert to fraction form
    10,613.25/16,365.38 = 16,365.38/x
  3. Step 3: Cross multiply
    10,613.25x = 16,365.38 × 16,365.38
  4. Step 4: Simplify right side
    10,613.25x = 267,825,498.89
  5. Step 5: Solve for x
    x = 267,825,498.89/10,613.25
  6. Step 6: Final answer
    x = 25,235.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.