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Finding the Third Proportional to 44,035 and 82,228

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Solution

The third proportional to 44,035 and 82,228 is: 153,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,035 : 82,228 = 82,228 : x
  2. Step 2: Convert to fraction form
    44,035/82,228 = 82,228/x
  3. Step 3: Cross multiply
    44,035x = 82,228 × 82,228
  4. Step 4: Simplify right side
    44,035x = 6,761,443,984
  5. Step 5: Solve for x
    x = 6,761,443,984/44,035
  6. Step 6: Final answer
    x = 153,547.04

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.