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Finding the Third Proportional to 33,239 and 69,963.50

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Solution

The third proportional to 33,239 and 69,963.50 is: 147,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,239 : 69,963.50 = 69,963.50 : x
  2. Step 2: Convert to fraction form
    33,239/69,963.50 = 69,963.50/x
  3. Step 3: Cross multiply
    33,239x = 69,963.50 × 69,963.50
  4. Step 4: Simplify right side
    33,239x = 4,894,891,332.25
  5. Step 5: Solve for x
    x = 4,894,891,332.25/33,239
  6. Step 6: Final answer
    x = 147,263.50

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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.