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Finding the Third Proportional to 30,846 and 40,518

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Solution

The third proportional to 30,846 and 40,518 is: 53,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846 : 40,518 = 40,518 : x
  2. Step 2: Convert to fraction form
    30,846/40,518 = 40,518/x
  3. Step 3: Cross multiply
    30,846x = 40,518 × 40,518
  4. Step 4: Simplify right side
    30,846x = 1,641,708,324
  5. Step 5: Solve for x
    x = 1,641,708,324/30,846
  6. Step 6: Final answer
    x = 53,222.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.