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Finding the Third Proportional to 22,119.75 and 32,531.63

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Solution

The third proportional to 22,119.75 and 32,531.63 is: 47,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,119.75 : 32,531.63 = 32,531.63 : x
  2. Step 2: Convert to fraction form
    22,119.75/32,531.63 = 32,531.63/x
  3. Step 3: Cross multiply
    22,119.75x = 32,531.63 × 32,531.63
  4. Step 4: Simplify right side
    22,119.75x = 1,058,306,625.14
  5. Step 5: Solve for x
    x = 1,058,306,625.14/22,119.75
  6. Step 6: Final answer
    x = 47,844.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.