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Finding the Third Proportional to 49,390 and 70,577

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Solution

The third proportional to 49,390 and 70,577 is: 100,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390 : 70,577 = 70,577 : x
  2. Step 2: Convert to fraction form
    49,390/70,577 = 70,577/x
  3. Step 3: Cross multiply
    49,390x = 70,577 × 70,577
  4. Step 4: Simplify right side
    49,390x = 4,981,112,929
  5. Step 5: Solve for x
    x = 4,981,112,929/49,390
  6. Step 6: Final answer
    x = 100,852.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.