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Finding the Third Proportional to 33,373.50 and 51,657

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Solution

The third proportional to 33,373.50 and 51,657 is: 79,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,373.50 : 51,657 = 51,657 : x
  2. Step 2: Convert to fraction form
    33,373.50/51,657 = 51,657/x
  3. Step 3: Cross multiply
    33,373.50x = 51,657 × 51,657
  4. Step 4: Simplify right side
    33,373.50x = 2,668,445,649
  5. Step 5: Solve for x
    x = 2,668,445,649/33,373.50
  6. Step 6: Final answer
    x = 79,957.02

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Why These Related Problems?

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