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Finding the Third Proportional to 4,201.24 and 5,888.00

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Solution

The third proportional to 4,201.24 and 5,888.00 is: 8,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.24 : 5,888.00 = 5,888.00 : x
  2. Step 2: Convert to fraction form
    4,201.24/5,888.00 = 5,888.00/x
  3. Step 3: Cross multiply
    4,201.24x = 5,888.00 × 5,888.00
  4. Step 4: Simplify right side
    4,201.24x = 34,668,590.00
  5. Step 5: Solve for x
    x = 34,668,590.00/4,201.24
  6. Step 6: Final answer
    x = 8,251.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.