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Finding the Third Proportional to 11,331.28 and 24,303.66

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Solution

The third proportional to 11,331.28 and 24,303.66 is: 52,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.28 : 24,303.66 = 24,303.66 : x
  2. Step 2: Convert to fraction form
    11,331.28/24,303.66 = 24,303.66/x
  3. Step 3: Cross multiply
    11,331.28x = 24,303.66 × 24,303.66
  4. Step 4: Simplify right side
    11,331.28x = 590,667,707.12
  5. Step 5: Solve for x
    x = 590,667,707.12/11,331.28
  6. Step 6: Final answer
    x = 52,127.18

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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.