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Finding the Third Proportional to 11,212 and 26,429.63

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Solution

The third proportional to 11,212 and 26,429.63 is: 62,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212 : 26,429.63 = 26,429.63 : x
  2. Step 2: Convert to fraction form
    11,212/26,429.63 = 26,429.63/x
  3. Step 3: Cross multiply
    11,212x = 26,429.63 × 26,429.63
  4. Step 4: Simplify right side
    11,212x = 698,525,077.64
  5. Step 5: Solve for x
    x = 698,525,077.64/11,212
  6. Step 6: Final answer
    x = 62,301.56

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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.