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Finding the Third Proportional to 5,202 and 8,586

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Solution

The third proportional to 5,202 and 8,586 is: 14,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 8,586 = 8,586 : x
  2. Step 2: Convert to fraction form
    5,202/8,586 = 8,586/x
  3. Step 3: Cross multiply
    5,202x = 8,586 × 8,586
  4. Step 4: Simplify right side
    5,202x = 73,719,396
  5. Step 5: Solve for x
    x = 73,719,396/5,202
  6. Step 6: Final answer
    x = 14,171.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.