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Finding the Third Proportional to 23,585.63 and 36,390.38

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Solution

The third proportional to 23,585.63 and 36,390.38 is: 56,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.63 : 36,390.38 = 36,390.38 : x
  2. Step 2: Convert to fraction form
    23,585.63/36,390.38 = 36,390.38/x
  3. Step 3: Cross multiply
    23,585.63x = 36,390.38 × 36,390.38
  4. Step 4: Simplify right side
    23,585.63x = 1,324,259,392.64
  5. Step 5: Solve for x
    x = 1,324,259,392.64/23,585.63
  6. Step 6: Final answer
    x = 56,146.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.