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Finding the Third Proportional to 2,407.22 and 4,165.17

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Solution

The third proportional to 2,407.22 and 4,165.17 is: 7,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.22 : 4,165.17 = 4,165.17 : x
  2. Step 2: Convert to fraction form
    2,407.22/4,165.17 = 4,165.17/x
  3. Step 3: Cross multiply
    2,407.22x = 4,165.17 × 4,165.17
  4. Step 4: Simplify right side
    2,407.22x = 17,348,656.75
  5. Step 5: Solve for x
    x = 17,348,656.75/2,407.22
  6. Step 6: Final answer
    x = 7,206.93

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.