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Finding the Third Proportional to 33,304.50 and 69,688

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Solution

The third proportional to 33,304.50 and 69,688 is: 145,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,304.50 : 69,688 = 69,688 : x
  2. Step 2: Convert to fraction form
    33,304.50/69,688 = 69,688/x
  3. Step 3: Cross multiply
    33,304.50x = 69,688 × 69,688
  4. Step 4: Simplify right side
    33,304.50x = 4,856,417,344
  5. Step 5: Solve for x
    x = 4,856,417,344/33,304.50
  6. Step 6: Final answer
    x = 145,818.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.