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Finding the Third Proportional to 25,359.38 and 39,421.31

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Solution

The third proportional to 25,359.38 and 39,421.31 is: 61,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,359.38 : 39,421.31 = 39,421.31 : x
  2. Step 2: Convert to fraction form
    25,359.38/39,421.31 = 39,421.31/x
  3. Step 3: Cross multiply
    25,359.38x = 39,421.31 × 39,421.31
  4. Step 4: Simplify right side
    25,359.38x = 1,554,039,879.22
  5. Step 5: Solve for x
    x = 1,554,039,879.22/25,359.38
  6. Step 6: Final answer
    x = 61,280.69

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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.