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Finding the Third Proportional to 22,969 and 32,343

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Solution

The third proportional to 22,969 and 32,343 is: 45,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969 : 32,343 = 32,343 : x
  2. Step 2: Convert to fraction form
    22,969/32,343 = 32,343/x
  3. Step 3: Cross multiply
    22,969x = 32,343 × 32,343
  4. Step 4: Simplify right side
    22,969x = 1,046,069,649
  5. Step 5: Solve for x
    x = 1,046,069,649/22,969
  6. Step 6: Final answer
    x = 45,542.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.