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Finding the Third Proportional to 2,555.30 and 4,848.61

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Solution

The third proportional to 2,555.30 and 4,848.61 is: 9,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.30 : 4,848.61 = 4,848.61 : x
  2. Step 2: Convert to fraction form
    2,555.30/4,848.61 = 4,848.61/x
  3. Step 3: Cross multiply
    2,555.30x = 4,848.61 × 4,848.61
  4. Step 4: Simplify right side
    2,555.30x = 23,509,012.87
  5. Step 5: Solve for x
    x = 23,509,012.87/2,555.30
  6. Step 6: Final answer
    x = 9,200.11

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.