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Finding the Third Proportional to 5,726 and 9,073

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Solution

The third proportional to 5,726 and 9,073 is: 14,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 9,073 = 9,073 : x
  2. Step 2: Convert to fraction form
    5,726/9,073 = 9,073/x
  3. Step 3: Cross multiply
    5,726x = 9,073 × 9,073
  4. Step 4: Simplify right side
    5,726x = 82,319,329
  5. Step 5: Solve for x
    x = 82,319,329/5,726
  6. Step 6: Final answer
    x = 14,376.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.