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Finding the Third Proportional to 40,947 and 86,815.50

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Solution

The third proportional to 40,947 and 86,815.50 is: 184,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,947 : 86,815.50 = 86,815.50 : x
  2. Step 2: Convert to fraction form
    40,947/86,815.50 = 86,815.50/x
  3. Step 3: Cross multiply
    40,947x = 86,815.50 × 86,815.50
  4. Step 4: Simplify right side
    40,947x = 7,536,931,040.25
  5. Step 5: Solve for x
    x = 7,536,931,040.25/40,947
  6. Step 6: Final answer
    x = 184,065.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.