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Finding the Third Proportional to 23,625.84 and 36,580.78

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Solution

The third proportional to 23,625.84 and 36,580.78 is: 56,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.84 : 36,580.78 = 36,580.78 : x
  2. Step 2: Convert to fraction form
    23,625.84/36,580.78 = 36,580.78/x
  3. Step 3: Cross multiply
    23,625.84x = 36,580.78 × 36,580.78
  4. Step 4: Simplify right side
    23,625.84x = 1,338,153,556.86
  5. Step 5: Solve for x
    x = 1,338,153,556.86/23,625.84
  6. Step 6: Final answer
    x = 56,639.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.