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Finding the Third Proportional to 25,302.38 and 36,442.41

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Solution

The third proportional to 25,302.38 and 36,442.41 is: 52,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.38 : 36,442.41 = 36,442.41 : x
  2. Step 2: Convert to fraction form
    25,302.38/36,442.41 = 36,442.41/x
  3. Step 3: Cross multiply
    25,302.38x = 36,442.41 × 36,442.41
  4. Step 4: Simplify right side
    25,302.38x = 1,328,048,973.29
  5. Step 5: Solve for x
    x = 1,328,048,973.29/25,302.38
  6. Step 6: Final answer
    x = 52,487.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.