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Finding the Third Proportional to 2,148.75 and 4,865.63

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Solution

The third proportional to 2,148.75 and 4,865.63 is: 11,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.75 : 4,865.63 = 4,865.63 : x
  2. Step 2: Convert to fraction form
    2,148.75/4,865.63 = 4,865.63/x
  3. Step 3: Cross multiply
    2,148.75x = 4,865.63 × 4,865.63
  4. Step 4: Simplify right side
    2,148.75x = 23,674,306.64
  5. Step 5: Solve for x
    x = 23,674,306.64/2,148.75
  6. Step 6: Final answer
    x = 11,017.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.