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Finding the Third Proportional to 7,050.38 and 11,242.13

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Solution

The third proportional to 7,050.38 and 11,242.13 is: 17,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.38 : 11,242.13 = 11,242.13 : x
  2. Step 2: Convert to fraction form
    7,050.38/11,242.13 = 11,242.13/x
  3. Step 3: Cross multiply
    7,050.38x = 11,242.13 × 11,242.13
  4. Step 4: Simplify right side
    7,050.38x = 126,385,374.52
  5. Step 5: Solve for x
    x = 126,385,374.52/7,050.38
  6. Step 6: Final answer
    x = 17,926.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.