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Finding the Third Proportional to 26,249 and 54,712

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Solution

The third proportional to 26,249 and 54,712 is: 114,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,249 : 54,712 = 54,712 : x
  2. Step 2: Convert to fraction form
    26,249/54,712 = 54,712/x
  3. Step 3: Cross multiply
    26,249x = 54,712 × 54,712
  4. Step 4: Simplify right side
    26,249x = 2,993,402,944
  5. Step 5: Solve for x
    x = 2,993,402,944/26,249
  6. Step 6: Final answer
    x = 114,038.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.