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Finding the Third Proportional to 3,476 and 5,528

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Solution

The third proportional to 3,476 and 5,528 is: 8,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 5,528 = 5,528 : x
  2. Step 2: Convert to fraction form
    3,476/5,528 = 5,528/x
  3. Step 3: Cross multiply
    3,476x = 5,528 × 5,528
  4. Step 4: Simplify right side
    3,476x = 30,558,784
  5. Step 5: Solve for x
    x = 30,558,784/3,476
  6. Step 6: Final answer
    x = 8,791.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.