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Finding the Third Proportional to 4,982 and 7,572

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Solution

The third proportional to 4,982 and 7,572 is: 11,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982 : 7,572 = 7,572 : x
  2. Step 2: Convert to fraction form
    4,982/7,572 = 7,572/x
  3. Step 3: Cross multiply
    4,982x = 7,572 × 7,572
  4. Step 4: Simplify right side
    4,982x = 57,335,184
  5. Step 5: Solve for x
    x = 57,335,184/4,982
  6. Step 6: Final answer
    x = 11,508.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.