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Finding the Third Proportional to 10,842.75 and 15,852.38

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Solution

The third proportional to 10,842.75 and 15,852.38 is: 23,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.75 : 15,852.38 = 15,852.38 : x
  2. Step 2: Convert to fraction form
    10,842.75/15,852.38 = 15,852.38/x
  3. Step 3: Cross multiply
    10,842.75x = 15,852.38 × 15,852.38
  4. Step 4: Simplify right side
    10,842.75x = 251,297,793.14
  5. Step 5: Solve for x
    x = 251,297,793.14/10,842.75
  6. Step 6: Final answer
    x = 23,176.57

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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.