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Finding the Third Proportional to 22,852.13 and 32,111.44

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Solution

The third proportional to 22,852.13 and 32,111.44 is: 45,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.13 : 32,111.44 = 32,111.44 : x
  2. Step 2: Convert to fraction form
    22,852.13/32,111.44 = 32,111.44/x
  3. Step 3: Cross multiply
    22,852.13x = 32,111.44 × 32,111.44
  4. Step 4: Simplify right side
    22,852.13x = 1,031,144,418.32
  5. Step 5: Solve for x
    x = 1,031,144,418.32/22,852.13
  6. Step 6: Final answer
    x = 45,122.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.