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Finding the Third Proportional to 8,506 and 12,462

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Solution

The third proportional to 8,506 and 12,462 is: 18,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 12,462 = 12,462 : x
  2. Step 2: Convert to fraction form
    8,506/12,462 = 12,462/x
  3. Step 3: Cross multiply
    8,506x = 12,462 × 12,462
  4. Step 4: Simplify right side
    8,506x = 155,301,444
  5. Step 5: Solve for x
    x = 155,301,444/8,506
  6. Step 6: Final answer
    x = 18,257.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.