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Finding the Third Proportional to 12,748 and 15,500

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Solution

The third proportional to 12,748 and 15,500 is: 18,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 15,500 = 15,500 : x
  2. Step 2: Convert to fraction form
    12,748/15,500 = 15,500/x
  3. Step 3: Cross multiply
    12,748x = 15,500 × 15,500
  4. Step 4: Simplify right side
    12,748x = 240,250,000
  5. Step 5: Solve for x
    x = 240,250,000/12,748
  6. Step 6: Final answer
    x = 18,846.09

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.