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Finding the Third Proportional to 941.86 and 1,422.40

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Solution

The third proportional to 941.86 and 1,422.40 is: 2,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.86 : 1,422.40 = 1,422.40 : x
  2. Step 2: Convert to fraction form
    941.86/1,422.40 = 1,422.40/x
  3. Step 3: Cross multiply
    941.86x = 1,422.40 × 1,422.40
  4. Step 4: Simplify right side
    941.86x = 2,023,233.98
  5. Step 5: Solve for x
    x = 2,023,233.98/941.86
  6. Step 6: Final answer
    x = 2,148.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.