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Finding the Third Proportional to 23,763.69 and 36,783.18

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Solution

The third proportional to 23,763.69 and 36,783.18 is: 56,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.69 : 36,783.18 = 36,783.18 : x
  2. Step 2: Convert to fraction form
    23,763.69/36,783.18 = 36,783.18/x
  3. Step 3: Cross multiply
    23,763.69x = 36,783.18 × 36,783.18
  4. Step 4: Simplify right side
    23,763.69x = 1,353,002,020.55
  5. Step 5: Solve for x
    x = 1,353,002,020.55/23,763.69
  6. Step 6: Final answer
    x = 56,935.68

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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.