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Finding the Third Proportional to 5,646 and 9,057

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Solution

The third proportional to 5,646 and 9,057 is: 14,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 9,057 = 9,057 : x
  2. Step 2: Convert to fraction form
    5,646/9,057 = 9,057/x
  3. Step 3: Cross multiply
    5,646x = 9,057 × 9,057
  4. Step 4: Simplify right side
    5,646x = 82,029,249
  5. Step 5: Solve for x
    x = 82,029,249/5,646
  6. Step 6: Final answer
    x = 14,528.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.