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Finding the Third Proportional to 5,670 and 9,029

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Solution

The third proportional to 5,670 and 9,029 is: 14,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670 : 9,029 = 9,029 : x
  2. Step 2: Convert to fraction form
    5,670/9,029 = 9,029/x
  3. Step 3: Cross multiply
    5,670x = 9,029 × 9,029
  4. Step 4: Simplify right side
    5,670x = 81,522,841
  5. Step 5: Solve for x
    x = 81,522,841/5,670
  6. Step 6: Final answer
    x = 14,377.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.