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Finding the Third Proportional to 2,458 and 5,347

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Solution

The third proportional to 2,458 and 5,347 is: 11,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458 : 5,347 = 5,347 : x
  2. Step 2: Convert to fraction form
    2,458/5,347 = 5,347/x
  3. Step 3: Cross multiply
    2,458x = 5,347 × 5,347
  4. Step 4: Simplify right side
    2,458x = 28,590,409
  5. Step 5: Solve for x
    x = 28,590,409/2,458
  6. Step 6: Final answer
    x = 11,631.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.