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Finding the Third Proportional to 25,353 and 39,462.38

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Solution

The third proportional to 25,353 and 39,462.38 is: 61,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,353 : 39,462.38 = 39,462.38 : x
  2. Step 2: Convert to fraction form
    25,353/39,462.38 = 39,462.38/x
  3. Step 3: Cross multiply
    25,353x = 39,462.38 × 39,462.38
  4. Step 4: Simplify right side
    25,353x = 1,557,279,040.64
  5. Step 5: Solve for x
    x = 1,557,279,040.64/25,353
  6. Step 6: Final answer
    x = 61,423.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.