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Finding the Third Proportional to 48,773.50 and 72,952.25

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Solution

The third proportional to 48,773.50 and 72,952.25 is: 109,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773.50 : 72,952.25 = 72,952.25 : x
  2. Step 2: Convert to fraction form
    48,773.50/72,952.25 = 72,952.25/x
  3. Step 3: Cross multiply
    48,773.50x = 72,952.25 × 72,952.25
  4. Step 4: Simplify right side
    48,773.50x = 5,322,030,780.06
  5. Step 5: Solve for x
    x = 5,322,030,780.06/48,773.50
  6. Step 6: Final answer
    x = 109,117.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.