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Finding the Third Proportional to 12,506 and 27,494

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Solution

The third proportional to 12,506 and 27,494 is: 60,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506 : 27,494 = 27,494 : x
  2. Step 2: Convert to fraction form
    12,506/27,494 = 27,494/x
  3. Step 3: Cross multiply
    12,506x = 27,494 × 27,494
  4. Step 4: Simplify right side
    12,506x = 755,920,036
  5. Step 5: Solve for x
    x = 755,920,036/12,506
  6. Step 6: Final answer
    x = 60,444.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.