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Finding the Third Proportional to 44,031 and 68,206.50

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Solution

The third proportional to 44,031 and 68,206.50 is: 105,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,031 : 68,206.50 = 68,206.50 : x
  2. Step 2: Convert to fraction form
    44,031/68,206.50 = 68,206.50/x
  3. Step 3: Cross multiply
    44,031x = 68,206.50 × 68,206.50
  4. Step 4: Simplify right side
    44,031x = 4,652,126,642.25
  5. Step 5: Solve for x
    x = 4,652,126,642.25/44,031
  6. Step 6: Final answer
    x = 105,655.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.