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Finding the Third Proportional to 45,867 and 70,891.50

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Solution

The third proportional to 45,867 and 70,891.50 is: 109,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,867 : 70,891.50 = 70,891.50 : x
  2. Step 2: Convert to fraction form
    45,867/70,891.50 = 70,891.50/x
  3. Step 3: Cross multiply
    45,867x = 70,891.50 × 70,891.50
  4. Step 4: Simplify right side
    45,867x = 5,025,604,772.25
  5. Step 5: Solve for x
    x = 5,025,604,772.25/45,867
  6. Step 6: Final answer
    x = 109,569.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.