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Finding the Third Proportional to 1,630.97 and 3,488.91

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Solution

The third proportional to 1,630.97 and 3,488.91 is: 7,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.97 : 3,488.91 = 3,488.91 : x
  2. Step 2: Convert to fraction form
    1,630.97/3,488.91 = 3,488.91/x
  3. Step 3: Cross multiply
    1,630.97x = 3,488.91 × 3,488.91
  4. Step 4: Simplify right side
    1,630.97x = 12,172,466.82
  5. Step 5: Solve for x
    x = 12,172,466.82/1,630.97
  6. Step 6: Final answer
    x = 7,463.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.