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Finding the Third Proportional to 22,032 and 32,232

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Solution

The third proportional to 22,032 and 32,232 is: 47,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032 : 32,232 = 32,232 : x
  2. Step 2: Convert to fraction form
    22,032/32,232 = 32,232/x
  3. Step 3: Cross multiply
    22,032x = 32,232 × 32,232
  4. Step 4: Simplify right side
    22,032x = 1,038,901,824
  5. Step 5: Solve for x
    x = 1,038,901,824/22,032
  6. Step 6: Final answer
    x = 47,154.22

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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.