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Finding the Third Proportional to 20,842.88 and 45,658.13

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Solution

The third proportional to 20,842.88 and 45,658.13 is: 100,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.88 : 45,658.13 = 45,658.13 : x
  2. Step 2: Convert to fraction form
    20,842.88/45,658.13 = 45,658.13/x
  3. Step 3: Cross multiply
    20,842.88x = 45,658.13 × 45,658.13
  4. Step 4: Simplify right side
    20,842.88x = 2,084,664,378.52
  5. Step 5: Solve for x
    x = 2,084,664,378.52/20,842.88
  6. Step 6: Final answer
    x = 100,018.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.