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Finding the Third Proportional to 4,514 and 9,886

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Solution

The third proportional to 4,514 and 9,886 is: 21,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514 : 9,886 = 9,886 : x
  2. Step 2: Convert to fraction form
    4,514/9,886 = 9,886/x
  3. Step 3: Cross multiply
    4,514x = 9,886 × 9,886
  4. Step 4: Simplify right side
    4,514x = 97,732,996
  5. Step 5: Solve for x
    x = 97,732,996/4,514
  6. Step 6: Final answer
    x = 21,651.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.