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Finding the Third Proportional to 25,464.38 and 36,693

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Solution

The third proportional to 25,464.38 and 36,693 is: 52,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.38 : 36,693 = 36,693 : x
  2. Step 2: Convert to fraction form
    25,464.38/36,693 = 36,693/x
  3. Step 3: Cross multiply
    25,464.38x = 36,693 × 36,693
  4. Step 4: Simplify right side
    25,464.38x = 1,346,376,249
  5. Step 5: Solve for x
    x = 1,346,376,249/25,464.38
  6. Step 6: Final answer
    x = 52,872.94

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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.