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Finding the Third Proportional to 4,320.84 and 10,080.70

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Solution

The third proportional to 4,320.84 and 10,080.70 is: 23,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.84 : 10,080.70 = 10,080.70 : x
  2. Step 2: Convert to fraction form
    4,320.84/10,080.70 = 10,080.70/x
  3. Step 3: Cross multiply
    4,320.84x = 10,080.70 × 10,080.70
  4. Step 4: Simplify right side
    4,320.84x = 101,620,575.49
  5. Step 5: Solve for x
    x = 101,620,575.49/4,320.84
  6. Step 6: Final answer
    x = 23,518.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.