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Finding the Third Proportional to 40,952.50 and 89,482

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Solution

The third proportional to 40,952.50 and 89,482 is: 195,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,952.50 : 89,482 = 89,482 : x
  2. Step 2: Convert to fraction form
    40,952.50/89,482 = 89,482/x
  3. Step 3: Cross multiply
    40,952.50x = 89,482 × 89,482
  4. Step 4: Simplify right side
    40,952.50x = 8,007,028,324
  5. Step 5: Solve for x
    x = 8,007,028,324/40,952.50
  6. Step 6: Final answer
    x = 195,519.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.