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Finding the Third Proportional to 7,164.13 and 15,250.88

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Solution

The third proportional to 7,164.13 and 15,250.88 is: 32,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.13 : 15,250.88 = 15,250.88 : x
  2. Step 2: Convert to fraction form
    7,164.13/15,250.88 = 15,250.88/x
  3. Step 3: Cross multiply
    7,164.13x = 15,250.88 × 15,250.88
  4. Step 4: Simplify right side
    7,164.13x = 232,589,188.27
  5. Step 5: Solve for x
    x = 232,589,188.27/7,164.13
  6. Step 6: Final answer
    x = 32,465.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.