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Finding the Third Proportional to 27,954 and 42,294

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Solution

The third proportional to 27,954 and 42,294 is: 63,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954 : 42,294 = 42,294 : x
  2. Step 2: Convert to fraction form
    27,954/42,294 = 42,294/x
  3. Step 3: Cross multiply
    27,954x = 42,294 × 42,294
  4. Step 4: Simplify right side
    27,954x = 1,788,782,436
  5. Step 5: Solve for x
    x = 1,788,782,436/27,954
  6. Step 6: Final answer
    x = 63,990.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.