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Finding the Third Proportional to 5,164 and 7,758

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Solution

The third proportional to 5,164 and 7,758 is: 11,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 7,758 = 7,758 : x
  2. Step 2: Convert to fraction form
    5,164/7,758 = 7,758/x
  3. Step 3: Cross multiply
    5,164x = 7,758 × 7,758
  4. Step 4: Simplify right side
    5,164x = 60,186,564
  5. Step 5: Solve for x
    x = 60,186,564/5,164
  6. Step 6: Final answer
    x = 11,655.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.