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Finding the Third Proportional to 26,706 and 57,294

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Solution

The third proportional to 26,706 and 57,294 is: 122,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706 : 57,294 = 57,294 : x
  2. Step 2: Convert to fraction form
    26,706/57,294 = 57,294/x
  3. Step 3: Cross multiply
    26,706x = 57,294 × 57,294
  4. Step 4: Simplify right side
    26,706x = 3,282,602,436
  5. Step 5: Solve for x
    x = 3,282,602,436/26,706
  6. Step 6: Final answer
    x = 122,916.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.