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Finding the Third Proportional to 5,206 and 6,877

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Solution

The third proportional to 5,206 and 6,877 is: 9,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 6,877 = 6,877 : x
  2. Step 2: Convert to fraction form
    5,206/6,877 = 6,877/x
  3. Step 3: Cross multiply
    5,206x = 6,877 × 6,877
  4. Step 4: Simplify right side
    5,206x = 47,293,129
  5. Step 5: Solve for x
    x = 47,293,129/5,206
  6. Step 6: Final answer
    x = 9,084.35

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.