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Finding the Third Proportional to 39,991.50 and 59,708.25

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Solution

The third proportional to 39,991.50 and 59,708.25 is: 89,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,991.50 : 59,708.25 = 59,708.25 : x
  2. Step 2: Convert to fraction form
    39,991.50/59,708.25 = 59,708.25/x
  3. Step 3: Cross multiply
    39,991.50x = 59,708.25 × 59,708.25
  4. Step 4: Simplify right side
    39,991.50x = 3,565,075,118.06
  5. Step 5: Solve for x
    x = 3,565,075,118.06/39,991.50
  6. Step 6: Final answer
    x = 89,145.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.