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Finding the Third Proportional to 5,527.30 and 11,567.18

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Solution

The third proportional to 5,527.30 and 11,567.18 is: 24,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.30 : 11,567.18 = 11,567.18 : x
  2. Step 2: Convert to fraction form
    5,527.30/11,567.18 = 11,567.18/x
  3. Step 3: Cross multiply
    5,527.30x = 11,567.18 × 11,567.18
  4. Step 4: Simplify right side
    5,527.30x = 133,799,645.92
  5. Step 5: Solve for x
    x = 133,799,645.92/5,527.30
  6. Step 6: Final answer
    x = 24,207.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.