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Finding the Third Proportional to 5,565 and 7,827

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Solution

The third proportional to 5,565 and 7,827 is: 11,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565 : 7,827 = 7,827 : x
  2. Step 2: Convert to fraction form
    5,565/7,827 = 7,827/x
  3. Step 3: Cross multiply
    5,565x = 7,827 × 7,827
  4. Step 4: Simplify right side
    5,565x = 61,261,929
  5. Step 5: Solve for x
    x = 61,261,929/5,565
  6. Step 6: Final answer
    x = 11,008.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.