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Finding the Third Proportional to 26,126 and 56,382

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Solution

The third proportional to 26,126 and 56,382 is: 121,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,126 : 56,382 = 56,382 : x
  2. Step 2: Convert to fraction form
    26,126/56,382 = 56,382/x
  3. Step 3: Cross multiply
    26,126x = 56,382 × 56,382
  4. Step 4: Simplify right side
    26,126x = 3,178,929,924
  5. Step 5: Solve for x
    x = 3,178,929,924/26,126
  6. Step 6: Final answer
    x = 121,676.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.