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Finding the Third Proportional to 2,152.83 and 4,749.89

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Solution

The third proportional to 2,152.83 and 4,749.89 is: 10,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.83 : 4,749.89 = 4,749.89 : x
  2. Step 2: Convert to fraction form
    2,152.83/4,749.89 = 4,749.89/x
  3. Step 3: Cross multiply
    2,152.83x = 4,749.89 × 4,749.89
  4. Step 4: Simplify right side
    2,152.83x = 22,561,460.95
  5. Step 5: Solve for x
    x = 22,561,460.95/2,152.83
  6. Step 6: Final answer
    x = 10,479.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.