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Finding the Third Proportional to 2,263.89 and 4,870.92

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Solution

The third proportional to 2,263.89 and 4,870.92 is: 10,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.89 : 4,870.92 = 4,870.92 : x
  2. Step 2: Convert to fraction form
    2,263.89/4,870.92 = 4,870.92/x
  3. Step 3: Cross multiply
    2,263.89x = 4,870.92 × 4,870.92
  4. Step 4: Simplify right side
    2,263.89x = 23,725,822.83
  5. Step 5: Solve for x
    x = 23,725,822.83/2,263.89
  6. Step 6: Final answer
    x = 10,480.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.