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Finding the Third Proportional to 27,946 and 61,076

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Solution

The third proportional to 27,946 and 61,076 is: 133,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946 : 61,076 = 61,076 : x
  2. Step 2: Convert to fraction form
    27,946/61,076 = 61,076/x
  3. Step 3: Cross multiply
    27,946x = 61,076 × 61,076
  4. Step 4: Simplify right side
    27,946x = 3,730,277,776
  5. Step 5: Solve for x
    x = 3,730,277,776/27,946
  6. Step 6: Final answer
    x = 133,481.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.