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Finding the Third Proportional to 23,845.22 and 36,945.28

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Solution

The third proportional to 23,845.22 and 36,945.28 is: 57,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.22 : 36,945.28 = 36,945.28 : x
  2. Step 2: Convert to fraction form
    23,845.22/36,945.28 = 36,945.28/x
  3. Step 3: Cross multiply
    23,845.22x = 36,945.28 × 36,945.28
  4. Step 4: Simplify right side
    23,845.22x = 1,364,953,806.64
  5. Step 5: Solve for x
    x = 1,364,953,806.64/23,845.22
  6. Step 6: Final answer
    x = 57,242.24

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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.