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Finding the Third Proportional to 22,346 and 32,593

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Solution

The third proportional to 22,346 and 32,593 is: 47,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346 : 32,593 = 32,593 : x
  2. Step 2: Convert to fraction form
    22,346/32,593 = 32,593/x
  3. Step 3: Cross multiply
    22,346x = 32,593 × 32,593
  4. Step 4: Simplify right side
    22,346x = 1,062,303,649
  5. Step 5: Solve for x
    x = 1,062,303,649/22,346
  6. Step 6: Final answer
    x = 47,538.87

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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.