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Finding the Third Proportional to 13,101.75 and 30,175.88

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Solution

The third proportional to 13,101.75 and 30,175.88 is: 69,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.75 : 30,175.88 = 30,175.88 : x
  2. Step 2: Convert to fraction form
    13,101.75/30,175.88 = 30,175.88/x
  3. Step 3: Cross multiply
    13,101.75x = 30,175.88 × 30,175.88
  4. Step 4: Simplify right side
    13,101.75x = 910,583,432.02
  5. Step 5: Solve for x
    x = 910,583,432.02/13,101.75
  6. Step 6: Final answer
    x = 69,500.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.