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Finding the Third Proportional to 12,053 and 25,924

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Solution

The third proportional to 12,053 and 25,924 is: 55,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053 : 25,924 = 25,924 : x
  2. Step 2: Convert to fraction form
    12,053/25,924 = 25,924/x
  3. Step 3: Cross multiply
    12,053x = 25,924 × 25,924
  4. Step 4: Simplify right side
    12,053x = 672,053,776
  5. Step 5: Solve for x
    x = 672,053,776/12,053
  6. Step 6: Final answer
    x = 55,758.22

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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.