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Finding the Third Proportional to 40,153.50 and 59,647.50

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Solution

The third proportional to 40,153.50 and 59,647.50 is: 88,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,153.50 : 59,647.50 = 59,647.50 : x
  2. Step 2: Convert to fraction form
    40,153.50/59,647.50 = 59,647.50/x
  3. Step 3: Cross multiply
    40,153.50x = 59,647.50 × 59,647.50
  4. Step 4: Simplify right side
    40,153.50x = 3,557,824,256.25
  5. Step 5: Solve for x
    x = 3,557,824,256.25/40,153.50
  6. Step 6: Final answer
    x = 88,605.58

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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.