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Finding the Third Proportional to 48,707.50 and 73,383

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Solution

The third proportional to 48,707.50 and 73,383 is: 110,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,707.50 : 73,383 = 73,383 : x
  2. Step 2: Convert to fraction form
    48,707.50/73,383 = 73,383/x
  3. Step 3: Cross multiply
    48,707.50x = 73,383 × 73,383
  4. Step 4: Simplify right side
    48,707.50x = 5,385,064,689
  5. Step 5: Solve for x
    x = 5,385,064,689/48,707.50
  6. Step 6: Final answer
    x = 110,559.25

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