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Finding the Third Proportional to 45,595.13 and 68,209.88

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Solution

The third proportional to 45,595.13 and 68,209.88 is: 102,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,595.13 : 68,209.88 = 68,209.88 : x
  2. Step 2: Convert to fraction form
    45,595.13/68,209.88 = 68,209.88/x
  3. Step 3: Cross multiply
    45,595.13x = 68,209.88 × 68,209.88
  4. Step 4: Simplify right side
    45,595.13x = 4,652,587,047.52
  5. Step 5: Solve for x
    x = 4,652,587,047.52/45,595.13
  6. Step 6: Final answer
    x = 102,041.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.