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Finding the Third Proportional to 26,026 and 55,294

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Solution

The third proportional to 26,026 and 55,294 is: 117,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026 : 55,294 = 55,294 : x
  2. Step 2: Convert to fraction form
    26,026/55,294 = 55,294/x
  3. Step 3: Cross multiply
    26,026x = 55,294 × 55,294
  4. Step 4: Simplify right side
    26,026x = 3,057,426,436
  5. Step 5: Solve for x
    x = 3,057,426,436/26,026
  6. Step 6: Final answer
    x = 117,475.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.