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Finding the Third Proportional to 10,848.94 and 25,207.03

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Solution

The third proportional to 10,848.94 and 25,207.03 is: 58,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.94 : 25,207.03 = 25,207.03 : x
  2. Step 2: Convert to fraction form
    10,848.94/25,207.03 = 25,207.03/x
  3. Step 3: Cross multiply
    10,848.94x = 25,207.03 × 25,207.03
  4. Step 4: Simplify right side
    10,848.94x = 635,394,424.44
  5. Step 5: Solve for x
    x = 635,394,424.44/10,848.94
  6. Step 6: Final answer
    x = 58,567.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.