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Finding the Third Proportional to 40,014 and 62,815.50

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Solution

The third proportional to 40,014 and 62,815.50 is: 98,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,014 : 62,815.50 = 62,815.50 : x
  2. Step 2: Convert to fraction form
    40,014/62,815.50 = 62,815.50/x
  3. Step 3: Cross multiply
    40,014x = 62,815.50 × 62,815.50
  4. Step 4: Simplify right side
    40,014x = 3,945,787,040.25
  5. Step 5: Solve for x
    x = 3,945,787,040.25/40,014
  6. Step 6: Final answer
    x = 98,610.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.