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Finding the Third Proportional to 13,591.13 and 31,525.88

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Solution

The third proportional to 13,591.13 and 31,525.88 is: 73,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.13 : 31,525.88 = 31,525.88 : x
  2. Step 2: Convert to fraction form
    13,591.13/31,525.88 = 31,525.88/x
  3. Step 3: Cross multiply
    13,591.13x = 31,525.88 × 31,525.88
  4. Step 4: Simplify right side
    13,591.13x = 993,880,794.52
  5. Step 5: Solve for x
    x = 993,880,794.52/13,591.13
  6. Step 6: Final answer
    x = 73,127.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.