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Finding the Third Proportional to 4,853 and 5,915

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Solution

The third proportional to 4,853 and 5,915 is: 7,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853 : 5,915 = 5,915 : x
  2. Step 2: Convert to fraction form
    4,853/5,915 = 5,915/x
  3. Step 3: Cross multiply
    4,853x = 5,915 × 5,915
  4. Step 4: Simplify right side
    4,853x = 34,987,225
  5. Step 5: Solve for x
    x = 34,987,225/4,853
  6. Step 6: Final answer
    x = 7,209.40

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.