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Finding the Third Proportional to 25,476.75 and 37,432.13

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Solution

The third proportional to 25,476.75 and 37,432.13 is: 54,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.75 : 37,432.13 = 37,432.13 : x
  2. Step 2: Convert to fraction form
    25,476.75/37,432.13 = 37,432.13/x
  3. Step 3: Cross multiply
    25,476.75x = 37,432.13 × 37,432.13
  4. Step 4: Simplify right side
    25,476.75x = 1,401,163,982.02
  5. Step 5: Solve for x
    x = 1,401,163,982.02/25,476.75
  6. Step 6: Final answer
    x = 54,997.75

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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.