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Finding the Third Proportional to 22,032 and 45,546

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Solution

The third proportional to 22,032 and 45,546 is: 94,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032 : 45,546 = 45,546 : x
  2. Step 2: Convert to fraction form
    22,032/45,546 = 45,546/x
  3. Step 3: Cross multiply
    22,032x = 45,546 × 45,546
  4. Step 4: Simplify right side
    22,032x = 2,074,438,116
  5. Step 5: Solve for x
    x = 2,074,438,116/22,032
  6. Step 6: Final answer
    x = 94,155.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.