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Finding the Third Proportional to 21,282.19 and 45,811.88

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Solution

The third proportional to 21,282.19 and 45,811.88 is: 98,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.19 : 45,811.88 = 45,811.88 : x
  2. Step 2: Convert to fraction form
    21,282.19/45,811.88 = 45,811.88/x
  3. Step 3: Cross multiply
    21,282.19x = 45,811.88 × 45,811.88
  4. Step 4: Simplify right side
    21,282.19x = 2,098,727,891.02
  5. Step 5: Solve for x
    x = 2,098,727,891.02/21,282.19
  6. Step 6: Final answer
    x = 98,614.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.