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Finding the Third Proportional to 5,206.13 and 11,336.63

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Solution

The third proportional to 5,206.13 and 11,336.63 is: 24,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.13 : 11,336.63 = 11,336.63 : x
  2. Step 2: Convert to fraction form
    5,206.13/11,336.63 = 11,336.63/x
  3. Step 3: Cross multiply
    5,206.13x = 11,336.63 × 11,336.63
  4. Step 4: Simplify right side
    5,206.13x = 128,519,066.39
  5. Step 5: Solve for x
    x = 128,519,066.39/5,206.13
  6. Step 6: Final answer
    x = 24,686.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.