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Finding the Third Proportional to 7,732.50 and 10,482

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Solution

The third proportional to 7,732.50 and 10,482 is: 14,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.50 : 10,482 = 10,482 : x
  2. Step 2: Convert to fraction form
    7,732.50/10,482 = 10,482/x
  3. Step 3: Cross multiply
    7,732.50x = 10,482 × 10,482
  4. Step 4: Simplify right side
    7,732.50x = 109,872,324
  5. Step 5: Solve for x
    x = 109,872,324/7,732.50
  6. Step 6: Final answer
    x = 14,209.16

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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.