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Finding the Third Proportional to 11,588.06 and 24,816.38

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Solution

The third proportional to 11,588.06 and 24,816.38 is: 53,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.06 : 24,816.38 = 24,816.38 : x
  2. Step 2: Convert to fraction form
    11,588.06/24,816.38 = 24,816.38/x
  3. Step 3: Cross multiply
    11,588.06x = 24,816.38 × 24,816.38
  4. Step 4: Simplify right side
    11,588.06x = 615,852,468.14
  5. Step 5: Solve for x
    x = 615,852,468.14/11,588.06
  6. Step 6: Final answer
    x = 53,145.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.