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Finding the Third Proportional to 3,970.69 and 6,070.78

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Solution

The third proportional to 3,970.69 and 6,070.78 is: 9,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.69 : 6,070.78 = 6,070.78 : x
  2. Step 2: Convert to fraction form
    3,970.69/6,070.78 = 6,070.78/x
  3. Step 3: Cross multiply
    3,970.69x = 6,070.78 × 6,070.78
  4. Step 4: Simplify right side
    3,970.69x = 36,854,384.99
  5. Step 5: Solve for x
    x = 36,854,384.99/3,970.69
  6. Step 6: Final answer
    x = 9,281.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.