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Finding the Third Proportional to 13,106.81 and 20,395.13

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Solution

The third proportional to 13,106.81 and 20,395.13 is: 31,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.81 : 20,395.13 = 20,395.13 : x
  2. Step 2: Convert to fraction form
    13,106.81/20,395.13 = 20,395.13/x
  3. Step 3: Cross multiply
    13,106.81x = 20,395.13 × 20,395.13
  4. Step 4: Simplify right side
    13,106.81x = 415,961,123.77
  5. Step 5: Solve for x
    x = 415,961,123.77/13,106.81
  6. Step 6: Final answer
    x = 31,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.