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Finding the Third Proportional to 16,206.75 and 23,122.13

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Solution

The third proportional to 16,206.75 and 23,122.13 is: 32,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.75 : 23,122.13 = 23,122.13 : x
  2. Step 2: Convert to fraction form
    16,206.75/23,122.13 = 23,122.13/x
  3. Step 3: Cross multiply
    16,206.75x = 23,122.13 × 23,122.13
  4. Step 4: Simplify right side
    16,206.75x = 534,632,664.52
  5. Step 5: Solve for x
    x = 534,632,664.52/16,206.75
  6. Step 6: Final answer
    x = 32,988.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.