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Finding the Third Proportional to 4,632 and 9,881

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Solution

The third proportional to 4,632 and 9,881 is: 21,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632 : 9,881 = 9,881 : x
  2. Step 2: Convert to fraction form
    4,632/9,881 = 9,881/x
  3. Step 3: Cross multiply
    4,632x = 9,881 × 9,881
  4. Step 4: Simplify right side
    4,632x = 97,634,161
  5. Step 5: Solve for x
    x = 97,634,161/4,632
  6. Step 6: Final answer
    x = 21,078.19

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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.