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Finding the Third Proportional to 5,206 and 6,875

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Solution

The third proportional to 5,206 and 6,875 is: 9,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 6,875 = 6,875 : x
  2. Step 2: Convert to fraction form
    5,206/6,875 = 6,875/x
  3. Step 3: Cross multiply
    5,206x = 6,875 × 6,875
  4. Step 4: Simplify right side
    5,206x = 47,265,625
  5. Step 5: Solve for x
    x = 47,265,625/5,206
  6. Step 6: Final answer
    x = 9,079.07

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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.