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Finding the Third Proportional to 6,164 and 9,029

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Solution

The third proportional to 6,164 and 9,029 is: 13,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164 : 9,029 = 9,029 : x
  2. Step 2: Convert to fraction form
    6,164/9,029 = 9,029/x
  3. Step 3: Cross multiply
    6,164x = 9,029 × 9,029
  4. Step 4: Simplify right side
    6,164x = 81,522,841
  5. Step 5: Solve for x
    x = 81,522,841/6,164
  6. Step 6: Final answer
    x = 13,225.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.