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Finding the Third Proportional to 30,699 and 41,077.13

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Solution

The third proportional to 30,699 and 41,077.13 is: 54,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699 : 41,077.13 = 41,077.13 : x
  2. Step 2: Convert to fraction form
    30,699/41,077.13 = 41,077.13/x
  3. Step 3: Cross multiply
    30,699x = 41,077.13 × 41,077.13
  4. Step 4: Simplify right side
    30,699x = 1,687,330,198.27
  5. Step 5: Solve for x
    x = 1,687,330,198.27/30,699
  6. Step 6: Final answer
    x = 54,963.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.