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Finding the Third Proportional to 2,402.16 and 5,176.41

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Solution

The third proportional to 2,402.16 and 5,176.41 is: 11,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.16 : 5,176.41 = 5,176.41 : x
  2. Step 2: Convert to fraction form
    2,402.16/5,176.41 = 5,176.41/x
  3. Step 3: Cross multiply
    2,402.16x = 5,176.41 × 5,176.41
  4. Step 4: Simplify right side
    2,402.16x = 26,795,181.67
  5. Step 5: Solve for x
    x = 26,795,181.67/2,402.16
  6. Step 6: Final answer
    x = 11,154.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.