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Finding the Third Proportional to 5,111 and 5,639

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Solution

The third proportional to 5,111 and 5,639 is: 6,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111 : 5,639 = 5,639 : x
  2. Step 2: Convert to fraction form
    5,111/5,639 = 5,639/x
  3. Step 3: Cross multiply
    5,111x = 5,639 × 5,639
  4. Step 4: Simplify right side
    5,111x = 31,798,321
  5. Step 5: Solve for x
    x = 31,798,321/5,111
  6. Step 6: Final answer
    x = 6,221.55

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.