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Finding the Third Proportional to 3,081.16 and 4,698.63

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Solution

The third proportional to 3,081.16 and 4,698.63 is: 7,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.16 : 4,698.63 = 4,698.63 : x
  2. Step 2: Convert to fraction form
    3,081.16/4,698.63 = 4,698.63/x
  3. Step 3: Cross multiply
    3,081.16x = 4,698.63 × 4,698.63
  4. Step 4: Simplify right side
    3,081.16x = 22,077,150.31
  5. Step 5: Solve for x
    x = 22,077,150.31/3,081.16
  6. Step 6: Final answer
    x = 7,165.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.