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Finding the Third Proportional to 33,468 and 70,387.50

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Solution

The third proportional to 33,468 and 70,387.50 is: 148,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468 : 70,387.50 = 70,387.50 : x
  2. Step 2: Convert to fraction form
    33,468/70,387.50 = 70,387.50/x
  3. Step 3: Cross multiply
    33,468x = 70,387.50 × 70,387.50
  4. Step 4: Simplify right side
    33,468x = 4,954,400,156.25
  5. Step 5: Solve for x
    x = 4,954,400,156.25/33,468
  6. Step 6: Final answer
    x = 148,033.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.