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Finding the Third Proportional to 33,931.13 and 54,423.56

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Solution

The third proportional to 33,931.13 and 54,423.56 is: 87,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931.13 : 54,423.56 = 54,423.56 : x
  2. Step 2: Convert to fraction form
    33,931.13/54,423.56 = 54,423.56/x
  3. Step 3: Cross multiply
    33,931.13x = 54,423.56 × 54,423.56
  4. Step 4: Simplify right side
    33,931.13x = 2,961,924,155.19
  5. Step 5: Solve for x
    x = 2,961,924,155.19/33,931.13
  6. Step 6: Final answer
    x = 87,292.25

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.