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Finding the Third Proportional to 923.91 and 1,925.72

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Solution

The third proportional to 923.91 and 1,925.72 is: 4,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 1,925.72 = 1,925.72 : x
  2. Step 2: Convert to fraction form
    923.91/1,925.72 = 1,925.72/x
  3. Step 3: Cross multiply
    923.91x = 1,925.72 × 1,925.72
  4. Step 4: Simplify right side
    923.91x = 3,708,392.70
  5. Step 5: Solve for x
    x = 3,708,392.70/923.91
  6. Step 6: Final answer
    x = 4,013.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.