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Finding the Third Proportional to 11,512.13 and 17,307.11

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Solution

The third proportional to 11,512.13 and 17,307.11 is: 26,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 17,307.11 = 17,307.11 : x
  2. Step 2: Convert to fraction form
    11,512.13/17,307.11 = 17,307.11/x
  3. Step 3: Cross multiply
    11,512.13x = 17,307.11 × 17,307.11
  4. Step 4: Simplify right side
    11,512.13x = 299,535,899.71
  5. Step 5: Solve for x
    x = 299,535,899.71/11,512.13
  6. Step 6: Final answer
    x = 26,019.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.