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Finding the Third Proportional to 13,102.13 and 29,106.75

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Solution

The third proportional to 13,102.13 and 29,106.75 is: 64,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.13 : 29,106.75 = 29,106.75 : x
  2. Step 2: Convert to fraction form
    13,102.13/29,106.75 = 29,106.75/x
  3. Step 3: Cross multiply
    13,102.13x = 29,106.75 × 29,106.75
  4. Step 4: Simplify right side
    13,102.13x = 847,202,895.56
  5. Step 5: Solve for x
    x = 847,202,895.56/13,102.13
  6. Step 6: Final answer
    x = 64,661.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.