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Finding the Third Proportional to 11,158.19 and 26,295.26

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Solution

The third proportional to 11,158.19 and 26,295.26 is: 61,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.19 : 26,295.26 = 26,295.26 : x
  2. Step 2: Convert to fraction form
    11,158.19/26,295.26 = 26,295.26/x
  3. Step 3: Cross multiply
    11,158.19x = 26,295.26 × 26,295.26
  4. Step 4: Simplify right side
    11,158.19x = 691,440,583.43
  5. Step 5: Solve for x
    x = 691,440,583.43/11,158.19
  6. Step 6: Final answer
    x = 61,967.12

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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.