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Finding the Third Proportional to 20,070.75 and 41,356.38

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Solution

The third proportional to 20,070.75 and 41,356.38 is: 85,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.75 : 41,356.38 = 41,356.38 : x
  2. Step 2: Convert to fraction form
    20,070.75/41,356.38 = 41,356.38/x
  3. Step 3: Cross multiply
    20,070.75x = 41,356.38 × 41,356.38
  4. Step 4: Simplify right side
    20,070.75x = 1,710,349,753.14
  5. Step 5: Solve for x
    x = 1,710,349,753.14/20,070.75
  6. Step 6: Final answer
    x = 85,216.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.