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Finding the Third Proportional to 16,814.25 and 23,564.25

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Solution

The third proportional to 16,814.25 and 23,564.25 is: 33,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.25 : 23,564.25 = 23,564.25 : x
  2. Step 2: Convert to fraction form
    16,814.25/23,564.25 = 23,564.25/x
  3. Step 3: Cross multiply
    16,814.25x = 23,564.25 × 23,564.25
  4. Step 4: Simplify right side
    16,814.25x = 555,273,878.06
  5. Step 5: Solve for x
    x = 555,273,878.06/16,814.25
  6. Step 6: Final answer
    x = 33,024.01

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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.