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Finding the Third Proportional to 3,967.40 and 5,810.20

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Solution

The third proportional to 3,967.40 and 5,810.20 is: 8,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.40 : 5,810.20 = 5,810.20 : x
  2. Step 2: Convert to fraction form
    3,967.40/5,810.20 = 5,810.20/x
  3. Step 3: Cross multiply
    3,967.40x = 5,810.20 × 5,810.20
  4. Step 4: Simplify right side
    3,967.40x = 33,758,461.15
  5. Step 5: Solve for x
    x = 33,758,461.15/3,967.40
  6. Step 6: Final answer
    x = 8,508.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.