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Finding the Third Proportional to 22,160 and 32,381

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Solution

The third proportional to 22,160 and 32,381 is: 47,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160 : 32,381 = 32,381 : x
  2. Step 2: Convert to fraction form
    22,160/32,381 = 32,381/x
  3. Step 3: Cross multiply
    22,160x = 32,381 × 32,381
  4. Step 4: Simplify right side
    22,160x = 1,048,529,161
  5. Step 5: Solve for x
    x = 1,048,529,161/22,160
  6. Step 6: Final answer
    x = 47,316.30

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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.