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Finding the Third Proportional to 6,034 and 7,739

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Solution

The third proportional to 6,034 and 7,739 is: 9,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034 : 7,739 = 7,739 : x
  2. Step 2: Convert to fraction form
    6,034/7,739 = 7,739/x
  3. Step 3: Cross multiply
    6,034x = 7,739 × 7,739
  4. Step 4: Simplify right side
    6,034x = 59,892,121
  5. Step 5: Solve for x
    x = 59,892,121/6,034
  6. Step 6: Final answer
    x = 9,925.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.