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Finding the Third Proportional to 4,951 and 5,359

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Solution

The third proportional to 4,951 and 5,359 is: 5,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951 : 5,359 = 5,359 : x
  2. Step 2: Convert to fraction form
    4,951/5,359 = 5,359/x
  3. Step 3: Cross multiply
    4,951x = 5,359 × 5,359
  4. Step 4: Simplify right side
    4,951x = 28,718,881
  5. Step 5: Solve for x
    x = 28,718,881/4,951
  6. Step 6: Final answer
    x = 5,800.62

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.