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Finding the Third Proportional to 32,922 and 47,045

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Solution

The third proportional to 32,922 and 47,045 is: 67,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922 : 47,045 = 47,045 : x
  2. Step 2: Convert to fraction form
    32,922/47,045 = 47,045/x
  3. Step 3: Cross multiply
    32,922x = 47,045 × 47,045
  4. Step 4: Simplify right side
    32,922x = 2,213,232,025
  5. Step 5: Solve for x
    x = 2,213,232,025/32,922
  6. Step 6: Final answer
    x = 67,226.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.