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Finding the Third Proportional to 4,565 and 4,979

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Solution

The third proportional to 4,565 and 4,979 is: 5,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 4,979 = 4,979 : x
  2. Step 2: Convert to fraction form
    4,565/4,979 = 4,979/x
  3. Step 3: Cross multiply
    4,565x = 4,979 × 4,979
  4. Step 4: Simplify right side
    4,565x = 24,790,441
  5. Step 5: Solve for x
    x = 24,790,441/4,565
  6. Step 6: Final answer
    x = 5,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.