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Finding the Third Proportional to 27,695 and 59,278

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Solution

The third proportional to 27,695 and 59,278 is: 126,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695 : 59,278 = 59,278 : x
  2. Step 2: Convert to fraction form
    27,695/59,278 = 59,278/x
  3. Step 3: Cross multiply
    27,695x = 59,278 × 59,278
  4. Step 4: Simplify right side
    27,695x = 3,513,881,284
  5. Step 5: Solve for x
    x = 3,513,881,284/27,695
  6. Step 6: Final answer
    x = 126,877.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.