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Finding the Third Proportional to 925.22 and 1,406.81

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Solution

The third proportional to 925.22 and 1,406.81 is: 2,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.22 : 1,406.81 = 1,406.81 : x
  2. Step 2: Convert to fraction form
    925.22/1,406.81 = 1,406.81/x
  3. Step 3: Cross multiply
    925.22x = 1,406.81 × 1,406.81
  4. Step 4: Simplify right side
    925.22x = 1,979,121.41
  5. Step 5: Solve for x
    x = 1,979,121.41/925.22
  6. Step 6: Final answer
    x = 2,139.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.