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Finding the Third Proportional to 11,303 and 24,617

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Solution

The third proportional to 11,303 and 24,617 is: 53,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303 : 24,617 = 24,617 : x
  2. Step 2: Convert to fraction form
    11,303/24,617 = 24,617/x
  3. Step 3: Cross multiply
    11,303x = 24,617 × 24,617
  4. Step 4: Simplify right side
    11,303x = 605,996,689
  5. Step 5: Solve for x
    x = 605,996,689/11,303
  6. Step 6: Final answer
    x = 53,613.79

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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.