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Finding the Third Proportional to 10,217.81 and 15,623.44

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Solution

The third proportional to 10,217.81 and 15,623.44 is: 23,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.81 : 15,623.44 = 15,623.44 : x
  2. Step 2: Convert to fraction form
    10,217.81/15,623.44 = 15,623.44/x
  3. Step 3: Cross multiply
    10,217.81x = 15,623.44 × 15,623.44
  4. Step 4: Simplify right side
    10,217.81x = 244,091,799.32
  5. Step 5: Solve for x
    x = 244,091,799.32/10,217.81
  6. Step 6: Final answer
    x = 23,888.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.