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Finding the Third Proportional to 23,498.75 and 36,409.13

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Solution

The third proportional to 23,498.75 and 36,409.13 is: 56,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.75 : 36,409.13 = 36,409.13 : x
  2. Step 2: Convert to fraction form
    23,498.75/36,409.13 = 36,409.13/x
  3. Step 3: Cross multiply
    23,498.75x = 36,409.13 × 36,409.13
  4. Step 4: Simplify right side
    23,498.75x = 1,325,624,383.27
  5. Step 5: Solve for x
    x = 1,325,624,383.27/23,498.75
  6. Step 6: Final answer
    x = 56,412.55

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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.