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Finding the Third Proportional to 5,772 and 12,528

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Solution

The third proportional to 5,772 and 12,528 is: 27,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 12,528 = 12,528 : x
  2. Step 2: Convert to fraction form
    5,772/12,528 = 12,528/x
  3. Step 3: Cross multiply
    5,772x = 12,528 × 12,528
  4. Step 4: Simplify right side
    5,772x = 156,950,784
  5. Step 5: Solve for x
    x = 156,950,784/5,772
  6. Step 6: Final answer
    x = 27,191.75

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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.