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Finding the Third Proportional to 12,531 and 29,635.50

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Solution

The third proportional to 12,531 and 29,635.50 is: 70,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531 : 29,635.50 = 29,635.50 : x
  2. Step 2: Convert to fraction form
    12,531/29,635.50 = 29,635.50/x
  3. Step 3: Cross multiply
    12,531x = 29,635.50 × 29,635.50
  4. Step 4: Simplify right side
    12,531x = 878,262,860.25
  5. Step 5: Solve for x
    x = 878,262,860.25/12,531
  6. Step 6: Final answer
    x = 70,087.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.