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Finding the Third Proportional to 2,492.44 and 6,193.13

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Solution

The third proportional to 2,492.44 and 6,193.13 is: 15,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.44 : 6,193.13 = 6,193.13 : x
  2. Step 2: Convert to fraction form
    2,492.44/6,193.13 = 6,193.13/x
  3. Step 3: Cross multiply
    2,492.44x = 6,193.13 × 6,193.13
  4. Step 4: Simplify right side
    2,492.44x = 38,354,797.27
  5. Step 5: Solve for x
    x = 38,354,797.27/2,492.44
  6. Step 6: Final answer
    x = 15,388.47

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.