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Finding the Third Proportional to 16,212.38 and 23,792.06

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Solution

The third proportional to 16,212.38 and 23,792.06 is: 34,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.38 : 23,792.06 = 23,792.06 : x
  2. Step 2: Convert to fraction form
    16,212.38/23,792.06 = 23,792.06/x
  3. Step 3: Cross multiply
    16,212.38x = 23,792.06 × 23,792.06
  4. Step 4: Simplify right side
    16,212.38x = 566,062,238.00
  5. Step 5: Solve for x
    x = 566,062,238.00/16,212.38
  6. Step 6: Final answer
    x = 34,915.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.