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Finding the Third Proportional to 10,998 and 25,936.88

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Solution

The third proportional to 10,998 and 25,936.88 is: 61,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998 : 25,936.88 = 25,936.88 : x
  2. Step 2: Convert to fraction form
    10,998/25,936.88 = 25,936.88/x
  3. Step 3: Cross multiply
    10,998x = 25,936.88 × 25,936.88
  4. Step 4: Simplify right side
    10,998x = 672,721,484.77
  5. Step 5: Solve for x
    x = 672,721,484.77/10,998
  6. Step 6: Final answer
    x = 61,167.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.