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Finding the Third Proportional to 24,274 and 32,362

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Solution

The third proportional to 24,274 and 32,362 is: 43,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274 : 32,362 = 32,362 : x
  2. Step 2: Convert to fraction form
    24,274/32,362 = 32,362/x
  3. Step 3: Cross multiply
    24,274x = 32,362 × 32,362
  4. Step 4: Simplify right side
    24,274x = 1,047,299,044
  5. Step 5: Solve for x
    x = 1,047,299,044/24,274
  6. Step 6: Final answer
    x = 43,144.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.