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Finding the Third Proportional to 13,187.25 and 31,129.88

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Solution

The third proportional to 13,187.25 and 31,129.88 is: 73,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.25 : 31,129.88 = 31,129.88 : x
  2. Step 2: Convert to fraction form
    13,187.25/31,129.88 = 31,129.88/x
  3. Step 3: Cross multiply
    13,187.25x = 31,129.88 × 31,129.88
  4. Step 4: Simplify right side
    13,187.25x = 969,069,117.52
  5. Step 5: Solve for x
    x = 969,069,117.52/13,187.25
  6. Step 6: Final answer
    x = 73,485.31

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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.