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Finding the Third Proportional to 25,494.75 and 37,378.13

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Solution

The third proportional to 25,494.75 and 37,378.13 is: 54,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.75 : 37,378.13 = 37,378.13 : x
  2. Step 2: Convert to fraction form
    25,494.75/37,378.13 = 37,378.13/x
  3. Step 3: Cross multiply
    25,494.75x = 37,378.13 × 37,378.13
  4. Step 4: Simplify right side
    25,494.75x = 1,397,124,228.52
  5. Step 5: Solve for x
    x = 1,397,124,228.52/25,494.75
  6. Step 6: Final answer
    x = 54,800.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.