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Finding the Third Proportional to 9,461 and 20,118

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Solution

The third proportional to 9,461 and 20,118 is: 42,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461 : 20,118 = 20,118 : x
  2. Step 2: Convert to fraction form
    9,461/20,118 = 20,118/x
  3. Step 3: Cross multiply
    9,461x = 20,118 × 20,118
  4. Step 4: Simplify right side
    9,461x = 404,733,924
  5. Step 5: Solve for x
    x = 404,733,924/9,461
  6. Step 6: Final answer
    x = 42,779.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.