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Finding the Third Proportional to 23,365.13 and 36,239.06

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Solution

The third proportional to 23,365.13 and 36,239.06 is: 56,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365.13 : 36,239.06 = 36,239.06 : x
  2. Step 2: Convert to fraction form
    23,365.13/36,239.06 = 36,239.06/x
  3. Step 3: Cross multiply
    23,365.13x = 36,239.06 × 36,239.06
  4. Step 4: Simplify right side
    23,365.13x = 1,313,269,650.88
  5. Step 5: Solve for x
    x = 1,313,269,650.88/23,365.13
  6. Step 6: Final answer
    x = 56,206.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.