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Finding the Third Proportional to 7,414.03 and 15,503.91

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Solution

The third proportional to 7,414.03 and 15,503.91 is: 32,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.03 : 15,503.91 = 15,503.91 : x
  2. Step 2: Convert to fraction form
    7,414.03/15,503.91 = 15,503.91/x
  3. Step 3: Cross multiply
    7,414.03x = 15,503.91 × 15,503.91
  4. Step 4: Simplify right side
    7,414.03x = 240,371,109.01
  5. Step 5: Solve for x
    x = 240,371,109.01/7,414.03
  6. Step 6: Final answer
    x = 32,421.11

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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.