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Finding the Third Proportional to 20,854.34 and 44,989.17

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Solution

The third proportional to 20,854.34 and 44,989.17 is: 97,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.34 : 44,989.17 = 44,989.17 : x
  2. Step 2: Convert to fraction form
    20,854.34/44,989.17 = 44,989.17/x
  3. Step 3: Cross multiply
    20,854.34x = 44,989.17 × 44,989.17
  4. Step 4: Simplify right side
    20,854.34x = 2,024,025,586.00
  5. Step 5: Solve for x
    x = 2,024,025,586.00/20,854.34
  6. Step 6: Final answer
    x = 97,055.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.