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Finding the Third Proportional to 25,690 and 37,531

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Solution

The third proportional to 25,690 and 37,531 is: 54,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690 : 37,531 = 37,531 : x
  2. Step 2: Convert to fraction form
    25,690/37,531 = 37,531/x
  3. Step 3: Cross multiply
    25,690x = 37,531 × 37,531
  4. Step 4: Simplify right side
    25,690x = 1,408,575,961
  5. Step 5: Solve for x
    x = 1,408,575,961/25,690
  6. Step 6: Final answer
    x = 54,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.