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Finding the Third Proportional to 24,578 and 53,317

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Solution

The third proportional to 24,578 and 53,317 is: 115,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578 : 53,317 = 53,317 : x
  2. Step 2: Convert to fraction form
    24,578/53,317 = 53,317/x
  3. Step 3: Cross multiply
    24,578x = 53,317 × 53,317
  4. Step 4: Simplify right side
    24,578x = 2,842,702,489
  5. Step 5: Solve for x
    x = 2,842,702,489/24,578
  6. Step 6: Final answer
    x = 115,660.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.