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Finding the Third Proportional to 12,748 and 27,944

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Solution

The third proportional to 12,748 and 27,944 is: 61,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 27,944 = 27,944 : x
  2. Step 2: Convert to fraction form
    12,748/27,944 = 27,944/x
  3. Step 3: Cross multiply
    12,748x = 27,944 × 27,944
  4. Step 4: Simplify right side
    12,748x = 780,867,136
  5. Step 5: Solve for x
    x = 780,867,136/12,748
  6. Step 6: Final answer
    x = 61,254.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.