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Finding the Third Proportional to 49,351.13 and 70,335.75

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Solution

The third proportional to 49,351.13 and 70,335.75 is: 100,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,351.13 : 70,335.75 = 70,335.75 : x
  2. Step 2: Convert to fraction form
    49,351.13/70,335.75 = 70,335.75/x
  3. Step 3: Cross multiply
    49,351.13x = 70,335.75 × 70,335.75
  4. Step 4: Simplify right side
    49,351.13x = 4,947,117,728.06
  5. Step 5: Solve for x
    x = 4,947,117,728.06/49,351.13
  6. Step 6: Final answer
    x = 100,243.26

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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.