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Finding the Third Proportional to 21,944.25 and 32,032.13

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Solution

The third proportional to 21,944.25 and 32,032.13 is: 46,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,944.25 : 32,032.13 = 32,032.13 : x
  2. Step 2: Convert to fraction form
    21,944.25/32,032.13 = 32,032.13/x
  3. Step 3: Cross multiply
    21,944.25x = 32,032.13 × 32,032.13
  4. Step 4: Simplify right side
    21,944.25x = 1,026,057,032.02
  5. Step 5: Solve for x
    x = 1,026,057,032.02/21,944.25
  6. Step 6: Final answer
    x = 46,757.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.