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Finding the Third Proportional to 49,642 and 70,952

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Solution

The third proportional to 49,642 and 70,952 is: 101,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642 : 70,952 = 70,952 : x
  2. Step 2: Convert to fraction form
    49,642/70,952 = 70,952/x
  3. Step 3: Cross multiply
    49,642x = 70,952 × 70,952
  4. Step 4: Simplify right side
    49,642x = 5,034,186,304
  5. Step 5: Solve for x
    x = 5,034,186,304/49,642
  6. Step 6: Final answer
    x = 101,409.82

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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.