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Finding the Third Proportional to 13,402.13 and 19,232.81

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Solution

The third proportional to 13,402.13 and 19,232.81 is: 27,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.13 : 19,232.81 = 19,232.81 : x
  2. Step 2: Convert to fraction form
    13,402.13/19,232.81 = 19,232.81/x
  3. Step 3: Cross multiply
    13,402.13x = 19,232.81 × 19,232.81
  4. Step 4: Simplify right side
    13,402.13x = 369,901,076.66
  5. Step 5: Solve for x
    x = 369,901,076.66/13,402.13
  6. Step 6: Final answer
    x = 27,600.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.