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Finding the Third Proportional to 20,031.75 and 42,652.13

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Solution

The third proportional to 20,031.75 and 42,652.13 is: 90,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.75 : 42,652.13 = 42,652.13 : x
  2. Step 2: Convert to fraction form
    20,031.75/42,652.13 = 42,652.13/x
  3. Step 3: Cross multiply
    20,031.75x = 42,652.13 × 42,652.13
  4. Step 4: Simplify right side
    20,031.75x = 1,819,203,767.02
  5. Step 5: Solve for x
    x = 1,819,203,767.02/20,031.75
  6. Step 6: Final answer
    x = 90,816.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.