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Finding the Third Proportional to 15,795 and 24,649.31

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Solution

The third proportional to 15,795 and 24,649.31 is: 38,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795 : 24,649.31 = 24,649.31 : x
  2. Step 2: Convert to fraction form
    15,795/24,649.31 = 24,649.31/x
  3. Step 3: Cross multiply
    15,795x = 24,649.31 × 24,649.31
  4. Step 4: Simplify right side
    15,795x = 607,588,606.72
  5. Step 5: Solve for x
    x = 607,588,606.72/15,795
  6. Step 6: Final answer
    x = 38,467.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.