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Finding the Third Proportional to 11,982.38 and 26,056.13

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Solution

The third proportional to 11,982.38 and 26,056.13 is: 56,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.38 : 26,056.13 = 26,056.13 : x
  2. Step 2: Convert to fraction form
    11,982.38/26,056.13 = 26,056.13/x
  3. Step 3: Cross multiply
    11,982.38x = 26,056.13 × 26,056.13
  4. Step 4: Simplify right side
    11,982.38x = 678,921,650.02
  5. Step 5: Solve for x
    x = 678,921,650.02/11,982.38
  6. Step 6: Final answer
    x = 56,660.02

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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.