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Finding the Third Proportional to 4,588 and 6,902

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Solution

The third proportional to 4,588 and 6,902 is: 10,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588 : 6,902 = 6,902 : x
  2. Step 2: Convert to fraction form
    4,588/6,902 = 6,902/x
  3. Step 3: Cross multiply
    4,588x = 6,902 × 6,902
  4. Step 4: Simplify right side
    4,588x = 47,637,604
  5. Step 5: Solve for x
    x = 47,637,604/4,588
  6. Step 6: Final answer
    x = 10,383.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.