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Finding the Third Proportional to 33,482 and 45,472.50

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Solution

The third proportional to 33,482 and 45,472.50 is: 61,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482 : 45,472.50 = 45,472.50 : x
  2. Step 2: Convert to fraction form
    33,482/45,472.50 = 45,472.50/x
  3. Step 3: Cross multiply
    33,482x = 45,472.50 × 45,472.50
  4. Step 4: Simplify right side
    33,482x = 2,067,748,256.25
  5. Step 5: Solve for x
    x = 2,067,748,256.25/33,482
  6. Step 6: Final answer
    x = 61,757.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.