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Finding the Third Proportional to 15,817.78 and 23,119.17

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Solution

The third proportional to 15,817.78 and 23,119.17 is: 33,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.78 : 23,119.17 = 23,119.17 : x
  2. Step 2: Convert to fraction form
    15,817.78/23,119.17 = 23,119.17/x
  3. Step 3: Cross multiply
    15,817.78x = 23,119.17 × 23,119.17
  4. Step 4: Simplify right side
    15,817.78x = 534,496,108.19
  5. Step 5: Solve for x
    x = 534,496,108.19/15,817.78
  6. Step 6: Final answer
    x = 33,790.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.