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Finding the Third Proportional to 52,033.50 and 79,020

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Solution

The third proportional to 52,033.50 and 79,020 is: 120,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.50 : 79,020 = 79,020 : x
  2. Step 2: Convert to fraction form
    52,033.50/79,020 = 79,020/x
  3. Step 3: Cross multiply
    52,033.50x = 79,020 × 79,020
  4. Step 4: Simplify right side
    52,033.50x = 6,244,160,400
  5. Step 5: Solve for x
    x = 6,244,160,400/52,033.50
  6. Step 6: Final answer
    x = 120,002.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.