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Finding the Third Proportional to 15,082.61 and 22,188.23

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Solution

The third proportional to 15,082.61 and 22,188.23 is: 32,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.61 : 22,188.23 = 22,188.23 : x
  2. Step 2: Convert to fraction form
    15,082.61/22,188.23 = 22,188.23/x
  3. Step 3: Cross multiply
    15,082.61x = 22,188.23 × 22,188.23
  4. Step 4: Simplify right side
    15,082.61x = 492,317,354.65
  5. Step 5: Solve for x
    x = 492,317,354.65/15,082.61
  6. Step 6: Final answer
    x = 32,641.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.