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Finding the Third Proportional to 30,823.03 and 41,860.55

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Solution

The third proportional to 30,823.03 and 41,860.55 is: 56,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.03 : 41,860.55 = 41,860.55 : x
  2. Step 2: Convert to fraction form
    30,823.03/41,860.55 = 41,860.55/x
  3. Step 3: Cross multiply
    30,823.03x = 41,860.55 × 41,860.55
  4. Step 4: Simplify right side
    30,823.03x = 1,752,305,384.67
  5. Step 5: Solve for x
    x = 1,752,305,384.67/30,823.03
  6. Step 6: Final answer
    x = 56,850.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.