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Finding the Third Proportional to 2,473 and 5,833

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Solution

The third proportional to 2,473 and 5,833 is: 13,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473 : 5,833 = 5,833 : x
  2. Step 2: Convert to fraction form
    2,473/5,833 = 5,833/x
  3. Step 3: Cross multiply
    2,473x = 5,833 × 5,833
  4. Step 4: Simplify right side
    2,473x = 34,023,889
  5. Step 5: Solve for x
    x = 34,023,889/2,473
  6. Step 6: Final answer
    x = 13,758.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.