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Finding the Third Proportional to 23,433.36 and 37,735.72

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Solution

The third proportional to 23,433.36 and 37,735.72 is: 60,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.36 : 37,735.72 = 37,735.72 : x
  2. Step 2: Convert to fraction form
    23,433.36/37,735.72 = 37,735.72/x
  3. Step 3: Cross multiply
    23,433.36x = 37,735.72 × 37,735.72
  4. Step 4: Simplify right side
    23,433.36x = 1,423,984,322.17
  5. Step 5: Solve for x
    x = 1,423,984,322.17/23,433.36
  6. Step 6: Final answer
    x = 60,767.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.