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Finding the Third Proportional to 11,250.14 and 26,523.07

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Solution

The third proportional to 11,250.14 and 26,523.07 is: 62,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.14 : 26,523.07 = 26,523.07 : x
  2. Step 2: Convert to fraction form
    11,250.14/26,523.07 = 26,523.07/x
  3. Step 3: Cross multiply
    11,250.14x = 26,523.07 × 26,523.07
  4. Step 4: Simplify right side
    11,250.14x = 703,473,258.80
  5. Step 5: Solve for x
    x = 703,473,258.80/11,250.14
  6. Step 6: Final answer
    x = 62,530.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.