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Finding the Third Proportional to 4,837 and 5,341

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Solution

The third proportional to 4,837 and 5,341 is: 5,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837 : 5,341 = 5,341 : x
  2. Step 2: Convert to fraction form
    4,837/5,341 = 5,341/x
  3. Step 3: Cross multiply
    4,837x = 5,341 × 5,341
  4. Step 4: Simplify right side
    4,837x = 28,526,281
  5. Step 5: Solve for x
    x = 28,526,281/4,837
  6. Step 6: Final answer
    x = 5,897.52

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.