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Finding the Third Proportional to 2,138.06 and 4,967.16

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Solution

The third proportional to 2,138.06 and 4,967.16 is: 11,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 4,967.16 = 4,967.16 : x
  2. Step 2: Convert to fraction form
    2,138.06/4,967.16 = 4,967.16/x
  3. Step 3: Cross multiply
    2,138.06x = 4,967.16 × 4,967.16
  4. Step 4: Simplify right side
    2,138.06x = 24,672,641.21
  5. Step 5: Solve for x
    x = 24,672,641.21/2,138.06
  6. Step 6: Final answer
    x = 11,539.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.