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Finding the Third Proportional to 10,342.69 and 19,295.72

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Solution

The third proportional to 10,342.69 and 19,295.72 is: 35,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.69 : 19,295.72 = 19,295.72 : x
  2. Step 2: Convert to fraction form
    10,342.69/19,295.72 = 19,295.72/x
  3. Step 3: Cross multiply
    10,342.69x = 19,295.72 × 19,295.72
  4. Step 4: Simplify right side
    10,342.69x = 372,324,762.08
  5. Step 5: Solve for x
    x = 372,324,762.08/10,342.69
  6. Step 6: Final answer
    x = 35,998.84

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.