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Finding the Third Proportional to 3,104.16 and 4,697.16

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Solution

The third proportional to 3,104.16 and 4,697.16 is: 7,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.16 : 4,697.16 = 4,697.16 : x
  2. Step 2: Convert to fraction form
    3,104.16/4,697.16 = 4,697.16/x
  3. Step 3: Cross multiply
    3,104.16x = 4,697.16 × 4,697.16
  4. Step 4: Simplify right side
    3,104.16x = 22,063,276.84
  5. Step 5: Solve for x
    x = 22,063,276.84/3,104.16
  6. Step 6: Final answer
    x = 7,107.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.