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Finding the Third Proportional to 5,142 and 7,077

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Solution

The third proportional to 5,142 and 7,077 is: 9,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142 : 7,077 = 7,077 : x
  2. Step 2: Convert to fraction form
    5,142/7,077 = 7,077/x
  3. Step 3: Cross multiply
    5,142x = 7,077 × 7,077
  4. Step 4: Simplify right side
    5,142x = 50,083,929
  5. Step 5: Solve for x
    x = 50,083,929/5,142
  6. Step 6: Final answer
    x = 9,740.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.