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Finding the Third Proportional to 20,981.25 and 45,649.13

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Solution

The third proportional to 20,981.25 and 45,649.13 is: 99,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.25 : 45,649.13 = 45,649.13 : x
  2. Step 2: Convert to fraction form
    20,981.25/45,649.13 = 45,649.13/x
  3. Step 3: Cross multiply
    20,981.25x = 45,649.13 × 45,649.13
  4. Step 4: Simplify right side
    20,981.25x = 2,083,842,613.27
  5. Step 5: Solve for x
    x = 2,083,842,613.27/20,981.25
  6. Step 6: Final answer
    x = 99,319.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.