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Finding the Third Proportional to 5,484.59 and 8,505.95

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Solution

The third proportional to 5,484.59 and 8,505.95 is: 13,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.59 : 8,505.95 = 8,505.95 : x
  2. Step 2: Convert to fraction form
    5,484.59/8,505.95 = 8,505.95/x
  3. Step 3: Cross multiply
    5,484.59x = 8,505.95 × 8,505.95
  4. Step 4: Simplify right side
    5,484.59x = 72,351,172.11
  5. Step 5: Solve for x
    x = 72,351,172.11/5,484.59
  6. Step 6: Final answer
    x = 13,191.73

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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.