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Finding the Third Proportional to 2,109.52 and 4,883.70

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Solution

The third proportional to 2,109.52 and 4,883.70 is: 11,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.52 : 4,883.70 = 4,883.70 : x
  2. Step 2: Convert to fraction form
    2,109.52/4,883.70 = 4,883.70/x
  3. Step 3: Cross multiply
    2,109.52x = 4,883.70 × 4,883.70
  4. Step 4: Simplify right side
    2,109.52x = 23,850,479.91
  5. Step 5: Solve for x
    x = 23,850,479.91/2,109.52
  6. Step 6: Final answer
    x = 11,306.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.