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Finding the Third Proportional to 22,353 and 31,325.63

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Solution

The third proportional to 22,353 and 31,325.63 is: 43,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353 : 31,325.63 = 31,325.63 : x
  2. Step 2: Convert to fraction form
    22,353/31,325.63 = 31,325.63/x
  3. Step 3: Cross multiply
    22,353x = 31,325.63 × 31,325.63
  4. Step 4: Simplify right side
    22,353x = 981,294,781.64
  5. Step 5: Solve for x
    x = 981,294,781.64/22,353
  6. Step 6: Final answer
    x = 43,899.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.