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Finding the Third Proportional to 5,033 and 7,791

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Solution

The third proportional to 5,033 and 7,791 is: 12,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033 : 7,791 = 7,791 : x
  2. Step 2: Convert to fraction form
    5,033/7,791 = 7,791/x
  3. Step 3: Cross multiply
    5,033x = 7,791 × 7,791
  4. Step 4: Simplify right side
    5,033x = 60,699,681
  5. Step 5: Solve for x
    x = 60,699,681/5,033
  6. Step 6: Final answer
    x = 12,060.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.