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Finding the Third Proportional to 40,609.13 and 63,649.69

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Solution

The third proportional to 40,609.13 and 63,649.69 is: 99,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,609.13 : 63,649.69 = 63,649.69 : x
  2. Step 2: Convert to fraction form
    40,609.13/63,649.69 = 63,649.69/x
  3. Step 3: Cross multiply
    40,609.13x = 63,649.69 × 63,649.69
  4. Step 4: Simplify right side
    40,609.13x = 4,051,282,718.85
  5. Step 5: Solve for x
    x = 4,051,282,718.85/40,609.13
  6. Step 6: Final answer
    x = 99,762.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.