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Finding the Third Proportional to 2,242 and 4,915

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Solution

The third proportional to 2,242 and 4,915 is: 10,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 4,915 = 4,915 : x
  2. Step 2: Convert to fraction form
    2,242/4,915 = 4,915/x
  3. Step 3: Cross multiply
    2,242x = 4,915 × 4,915
  4. Step 4: Simplify right side
    2,242x = 24,157,225
  5. Step 5: Solve for x
    x = 24,157,225/2,242
  6. Step 6: Final answer
    x = 10,774.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.