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Finding the Third Proportional to 4,108.22 and 6,070.78

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Solution

The third proportional to 4,108.22 and 6,070.78 is: 8,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.22 : 6,070.78 = 6,070.78 : x
  2. Step 2: Convert to fraction form
    4,108.22/6,070.78 = 6,070.78/x
  3. Step 3: Cross multiply
    4,108.22x = 6,070.78 × 6,070.78
  4. Step 4: Simplify right side
    4,108.22x = 36,854,384.99
  5. Step 5: Solve for x
    x = 36,854,384.99/4,108.22
  6. Step 6: Final answer
    x = 8,970.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.