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Finding the Third Proportional to 2,464.03 and 5,337.84

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Solution

The third proportional to 2,464.03 and 5,337.84 is: 11,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.03 : 5,337.84 = 5,337.84 : x
  2. Step 2: Convert to fraction form
    2,464.03/5,337.84 = 5,337.84/x
  3. Step 3: Cross multiply
    2,464.03x = 5,337.84 × 5,337.84
  4. Step 4: Simplify right side
    2,464.03x = 28,492,575.90
  5. Step 5: Solve for x
    x = 28,492,575.90/2,464.03
  6. Step 6: Final answer
    x = 11,563.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.