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Finding the Third Proportional to 44,952 and 67,992

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Solution

The third proportional to 44,952 and 67,992 is: 102,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,952 : 67,992 = 67,992 : x
  2. Step 2: Convert to fraction form
    44,952/67,992 = 67,992/x
  3. Step 3: Cross multiply
    44,952x = 67,992 × 67,992
  4. Step 4: Simplify right side
    44,952x = 4,622,912,064
  5. Step 5: Solve for x
    x = 4,622,912,064/44,952
  6. Step 6: Final answer
    x = 102,841.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.