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Finding the Third Proportional to 13,240.13 and 31,186.69

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Solution

The third proportional to 13,240.13 and 31,186.69 is: 73,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.13 : 31,186.69 = 31,186.69 : x
  2. Step 2: Convert to fraction form
    13,240.13/31,186.69 = 31,186.69/x
  3. Step 3: Cross multiply
    13,240.13x = 31,186.69 × 31,186.69
  4. Step 4: Simplify right side
    13,240.13x = 972,609,477.22
  5. Step 5: Solve for x
    x = 972,609,477.22/13,240.13
  6. Step 6: Final answer
    x = 73,459.24

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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.