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Finding the Third Proportional to 5,762 and 9,173

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Solution

The third proportional to 5,762 and 9,173 is: 14,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762 : 9,173 = 9,173 : x
  2. Step 2: Convert to fraction form
    5,762/9,173 = 9,173/x
  3. Step 3: Cross multiply
    5,762x = 9,173 × 9,173
  4. Step 4: Simplify right side
    5,762x = 84,143,929
  5. Step 5: Solve for x
    x = 84,143,929/5,762
  6. Step 6: Final answer
    x = 14,603.25

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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.