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Finding the Third Proportional to 10,395 and 21,184.88

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Solution

The third proportional to 10,395 and 21,184.88 is: 43,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 21,184.88 = 21,184.88 : x
  2. Step 2: Convert to fraction form
    10,395/21,184.88 = 21,184.88/x
  3. Step 3: Cross multiply
    10,395x = 21,184.88 × 21,184.88
  4. Step 4: Simplify right side
    10,395x = 448,798,928.77
  5. Step 5: Solve for x
    x = 448,798,928.77/10,395
  6. Step 6: Final answer
    x = 43,174.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.