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Finding the Third Proportional to 38,862 and 46,253

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Solution

The third proportional to 38,862 and 46,253 is: 55,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 46,253 = 46,253 : x
  2. Step 2: Convert to fraction form
    38,862/46,253 = 46,253/x
  3. Step 3: Cross multiply
    38,862x = 46,253 × 46,253
  4. Step 4: Simplify right side
    38,862x = 2,139,340,009
  5. Step 5: Solve for x
    x = 2,139,340,009/38,862
  6. Step 6: Final answer
    x = 55,049.66

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.