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Finding the Third Proportional to 25,063 and 53,797

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Solution

The third proportional to 25,063 and 53,797 is: 115,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,063 : 53,797 = 53,797 : x
  2. Step 2: Convert to fraction form
    25,063/53,797 = 53,797/x
  3. Step 3: Cross multiply
    25,063x = 53,797 × 53,797
  4. Step 4: Simplify right side
    25,063x = 2,894,117,209
  5. Step 5: Solve for x
    x = 2,894,117,209/25,063
  6. Step 6: Final answer
    x = 115,473.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.