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Finding the Third Proportional to 20,098.76 and 29,546.02

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Solution

The third proportional to 20,098.76 and 29,546.02 is: 43,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.76 : 29,546.02 = 29,546.02 : x
  2. Step 2: Convert to fraction form
    20,098.76/29,546.02 = 29,546.02/x
  3. Step 3: Cross multiply
    20,098.76x = 29,546.02 × 29,546.02
  4. Step 4: Simplify right side
    20,098.76x = 872,967,039.31
  5. Step 5: Solve for x
    x = 872,967,039.31/20,098.76
  6. Step 6: Final answer
    x = 43,433.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.