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Finding the Third Proportional to 5,156 and 7,582

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Solution

The third proportional to 5,156 and 7,582 is: 11,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156 : 7,582 = 7,582 : x
  2. Step 2: Convert to fraction form
    5,156/7,582 = 7,582/x
  3. Step 3: Cross multiply
    5,156x = 7,582 × 7,582
  4. Step 4: Simplify right side
    5,156x = 57,486,724
  5. Step 5: Solve for x
    x = 57,486,724/5,156
  6. Step 6: Final answer
    x = 11,149.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.