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Finding the Third Proportional to 3,474 and 7,528

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Solution

The third proportional to 3,474 and 7,528 is: 16,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474 : 7,528 = 7,528 : x
  2. Step 2: Convert to fraction form
    3,474/7,528 = 7,528/x
  3. Step 3: Cross multiply
    3,474x = 7,528 × 7,528
  4. Step 4: Simplify right side
    3,474x = 56,670,784
  5. Step 5: Solve for x
    x = 56,670,784/3,474
  6. Step 6: Final answer
    x = 16,312.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.