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Finding the Third Proportional to 13,465.13 and 20,440.69

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Solution

The third proportional to 13,465.13 and 20,440.69 is: 31,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.13 : 20,440.69 = 20,440.69 : x
  2. Step 2: Convert to fraction form
    13,465.13/20,440.69 = 20,440.69/x
  3. Step 3: Cross multiply
    13,465.13x = 20,440.69 × 20,440.69
  4. Step 4: Simplify right side
    13,465.13x = 417,821,705.47
  5. Step 5: Solve for x
    x = 417,821,705.47/13,465.13
  6. Step 6: Final answer
    x = 31,029.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.