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Finding the Third Proportional to 10,997.65 and 23,863.36

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Solution

The third proportional to 10,997.65 and 23,863.36 is: 51,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.65 : 23,863.36 = 23,863.36 : x
  2. Step 2: Convert to fraction form
    10,997.65/23,863.36 = 23,863.36/x
  3. Step 3: Cross multiply
    10,997.65x = 23,863.36 × 23,863.36
  4. Step 4: Simplify right side
    10,997.65x = 569,459,920.66
  5. Step 5: Solve for x
    x = 569,459,920.66/10,997.65
  6. Step 6: Final answer
    x = 51,780.15

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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.