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Finding the Third Proportional to 21,222.38 and 32,294.63

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Solution

The third proportional to 21,222.38 and 32,294.63 is: 49,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.38 : 32,294.63 = 32,294.63 : x
  2. Step 2: Convert to fraction form
    21,222.38/32,294.63 = 32,294.63/x
  3. Step 3: Cross multiply
    21,222.38x = 32,294.63 × 32,294.63
  4. Step 4: Simplify right side
    21,222.38x = 1,042,942,803.89
  5. Step 5: Solve for x
    x = 1,042,942,803.89/21,222.38
  6. Step 6: Final answer
    x = 49,143.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.