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Finding the Third Proportional to 48,982 and 70,617

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Solution

The third proportional to 48,982 and 70,617 is: 101,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982 : 70,617 = 70,617 : x
  2. Step 2: Convert to fraction form
    48,982/70,617 = 70,617/x
  3. Step 3: Cross multiply
    48,982x = 70,617 × 70,617
  4. Step 4: Simplify right side
    48,982x = 4,986,760,689
  5. Step 5: Solve for x
    x = 4,986,760,689/48,982
  6. Step 6: Final answer
    x = 101,808.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.