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Finding the Third Proportional to 10,032 and 19,808

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Solution

The third proportional to 10,032 and 19,808 is: 39,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032 : 19,808 = 19,808 : x
  2. Step 2: Convert to fraction form
    10,032/19,808 = 19,808/x
  3. Step 3: Cross multiply
    10,032x = 19,808 × 19,808
  4. Step 4: Simplify right side
    10,032x = 392,356,864
  5. Step 5: Solve for x
    x = 392,356,864/10,032
  6. Step 6: Final answer
    x = 39,110.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.