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Finding the Third Proportional to 4,205 and 9,887

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Solution

The third proportional to 4,205 and 9,887 is: 23,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 9,887 = 9,887 : x
  2. Step 2: Convert to fraction form
    4,205/9,887 = 9,887/x
  3. Step 3: Cross multiply
    4,205x = 9,887 × 9,887
  4. Step 4: Simplify right side
    4,205x = 97,752,769
  5. Step 5: Solve for x
    x = 97,752,769/4,205
  6. Step 6: Final answer
    x = 23,246.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.