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Finding the Third Proportional to 25,869.38 and 36,419.63

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Solution

The third proportional to 25,869.38 and 36,419.63 is: 51,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869.38 : 36,419.63 = 36,419.63 : x
  2. Step 2: Convert to fraction form
    25,869.38/36,419.63 = 36,419.63/x
  3. Step 3: Cross multiply
    25,869.38x = 36,419.63 × 36,419.63
  4. Step 4: Simplify right side
    25,869.38x = 1,326,389,085.14
  5. Step 5: Solve for x
    x = 1,326,389,085.14/25,869.38
  6. Step 6: Final answer
    x = 51,272.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.