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Finding the Third Proportional to 5,464.13 and 6,031.13

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Solution

The third proportional to 5,464.13 and 6,031.13 is: 6,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.13 : 6,031.13 = 6,031.13 : x
  2. Step 2: Convert to fraction form
    5,464.13/6,031.13 = 6,031.13/x
  3. Step 3: Cross multiply
    5,464.13x = 6,031.13 × 6,031.13
  4. Step 4: Simplify right side
    5,464.13x = 36,374,468.77
  5. Step 5: Solve for x
    x = 36,374,468.77/5,464.13
  6. Step 6: Final answer
    x = 6,656.96

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.