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Finding the Third Proportional to 20,017.13 and 32,010.19

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Solution

The third proportional to 20,017.13 and 32,010.19 is: 51,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.13 : 32,010.19 = 32,010.19 : x
  2. Step 2: Convert to fraction form
    20,017.13/32,010.19 = 32,010.19/x
  3. Step 3: Cross multiply
    20,017.13x = 32,010.19 × 32,010.19
  4. Step 4: Simplify right side
    20,017.13x = 1,024,652,103.79
  5. Step 5: Solve for x
    x = 1,024,652,103.79/20,017.13
  6. Step 6: Final answer
    x = 51,188.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.