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Finding the Third Proportional to 2,465.18 and 5,449.35

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Solution

The third proportional to 2,465.18 and 5,449.35 is: 12,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.18 : 5,449.35 = 5,449.35 : x
  2. Step 2: Convert to fraction form
    2,465.18/5,449.35 = 5,449.35/x
  3. Step 3: Cross multiply
    2,465.18x = 5,449.35 × 5,449.35
  4. Step 4: Simplify right side
    2,465.18x = 29,695,373.91
  5. Step 5: Solve for x
    x = 29,695,373.91/2,465.18
  6. Step 6: Final answer
    x = 12,045.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.