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Finding the Third Proportional to 1,948.01 and 4,229.19

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Solution

The third proportional to 1,948.01 and 4,229.19 is: 9,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.01 : 4,229.19 = 4,229.19 : x
  2. Step 2: Convert to fraction form
    1,948.01/4,229.19 = 4,229.19/x
  3. Step 3: Cross multiply
    1,948.01x = 4,229.19 × 4,229.19
  4. Step 4: Simplify right side
    1,948.01x = 17,886,059.95
  5. Step 5: Solve for x
    x = 17,886,059.95/1,948.01
  6. Step 6: Final answer
    x = 9,181.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.