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Finding the Third Proportional to 21,945 and 34,032

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Solution

The third proportional to 21,945 and 34,032 is: 52,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945 : 34,032 = 34,032 : x
  2. Step 2: Convert to fraction form
    21,945/34,032 = 34,032/x
  3. Step 3: Cross multiply
    21,945x = 34,032 × 34,032
  4. Step 4: Simplify right side
    21,945x = 1,158,177,024
  5. Step 5: Solve for x
    x = 1,158,177,024/21,945
  6. Step 6: Final answer
    x = 52,776.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.