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Finding the Third Proportional to 48,939 and 70,654.50

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Solution

The third proportional to 48,939 and 70,654.50 is: 102,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,939 : 70,654.50 = 70,654.50 : x
  2. Step 2: Convert to fraction form
    48,939/70,654.50 = 70,654.50/x
  3. Step 3: Cross multiply
    48,939x = 70,654.50 × 70,654.50
  4. Step 4: Simplify right side
    48,939x = 4,992,058,370.25
  5. Step 5: Solve for x
    x = 4,992,058,370.25/48,939
  6. Step 6: Final answer
    x = 102,005.73

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