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Finding the Third Proportional to 2,385.56 and 4,208.06

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Solution

The third proportional to 2,385.56 and 4,208.06 is: 7,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.56 : 4,208.06 = 4,208.06 : x
  2. Step 2: Convert to fraction form
    2,385.56/4,208.06 = 4,208.06/x
  3. Step 3: Cross multiply
    2,385.56x = 4,208.06 × 4,208.06
  4. Step 4: Simplify right side
    2,385.56x = 17,707,790.00
  5. Step 5: Solve for x
    x = 17,707,790.00/2,385.56
  6. Step 6: Final answer
    x = 7,422.90

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.