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Finding the Third Proportional to 948.31 and 1,415.13

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Solution

The third proportional to 948.31 and 1,415.13 is: 2,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.31 : 1,415.13 = 1,415.13 : x
  2. Step 2: Convert to fraction form
    948.31/1,415.13 = 1,415.13/x
  3. Step 3: Cross multiply
    948.31x = 1,415.13 × 1,415.13
  4. Step 4: Simplify right side
    948.31x = 2,002,578.77
  5. Step 5: Solve for x
    x = 2,002,578.77/948.31
  6. Step 6: Final answer
    x = 2,111.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.