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Finding the Third Proportional to 7,691.06 and 20,035.13

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Solution

The third proportional to 7,691.06 and 20,035.13 is: 52,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.06 : 20,035.13 = 20,035.13 : x
  2. Step 2: Convert to fraction form
    7,691.06/20,035.13 = 20,035.13/x
  3. Step 3: Cross multiply
    7,691.06x = 20,035.13 × 20,035.13
  4. Step 4: Simplify right side
    7,691.06x = 401,406,233.77
  5. Step 5: Solve for x
    x = 401,406,233.77/7,691.06
  6. Step 6: Final answer
    x = 52,191.26

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.