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Finding the Third Proportional to 2,246.80 and 4,903.66

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Solution

The third proportional to 2,246.80 and 4,903.66 is: 10,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.80 : 4,903.66 = 4,903.66 : x
  2. Step 2: Convert to fraction form
    2,246.80/4,903.66 = 4,903.66/x
  3. Step 3: Cross multiply
    2,246.80x = 4,903.66 × 4,903.66
  4. Step 4: Simplify right side
    2,246.80x = 24,045,921.24
  5. Step 5: Solve for x
    x = 24,045,921.24/2,246.80
  6. Step 6: Final answer
    x = 10,702.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.