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Finding the Third Proportional to 38,044 and 77,240

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Solution

The third proportional to 38,044 and 77,240 is: 156,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044 : 77,240 = 77,240 : x
  2. Step 2: Convert to fraction form
    38,044/77,240 = 77,240/x
  3. Step 3: Cross multiply
    38,044x = 77,240 × 77,240
  4. Step 4: Simplify right side
    38,044x = 5,966,017,600
  5. Step 5: Solve for x
    x = 5,966,017,600/38,044
  6. Step 6: Final answer
    x = 156,818.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.