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Finding the Third Proportional to 48,930 and 70,641

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Solution

The third proportional to 48,930 and 70,641 is: 101,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,930 : 70,641 = 70,641 : x
  2. Step 2: Convert to fraction form
    48,930/70,641 = 70,641/x
  3. Step 3: Cross multiply
    48,930x = 70,641 × 70,641
  4. Step 4: Simplify right side
    48,930x = 4,990,150,881
  5. Step 5: Solve for x
    x = 4,990,150,881/48,930
  6. Step 6: Final answer
    x = 101,985.51

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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.