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Finding the Third Proportional to 948.38 and 2,445.19

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Solution

The third proportional to 948.38 and 2,445.19 is: 6,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.38 : 2,445.19 = 2,445.19 : x
  2. Step 2: Convert to fraction form
    948.38/2,445.19 = 2,445.19/x
  3. Step 3: Cross multiply
    948.38x = 2,445.19 × 2,445.19
  4. Step 4: Simplify right side
    948.38x = 5,978,941.91
  5. Step 5: Solve for x
    x = 5,978,941.91/948.38
  6. Step 6: Final answer
    x = 6,304.41

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.