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Finding the Third Proportional to 30,223.13 and 65,909.95

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Solution

The third proportional to 30,223.13 and 65,909.95 is: 143,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.13 : 65,909.95 = 65,909.95 : x
  2. Step 2: Convert to fraction form
    30,223.13/65,909.95 = 65,909.95/x
  3. Step 3: Cross multiply
    30,223.13x = 65,909.95 × 65,909.95
  4. Step 4: Simplify right side
    30,223.13x = 4,344,121,920.94
  5. Step 5: Solve for x
    x = 4,344,121,920.94/30,223.13
  6. Step 6: Final answer
    x = 143,735.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.