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Finding the Third Proportional to 8,460 and 16,480.50

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Solution

The third proportional to 8,460 and 16,480.50 is: 32,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 16,480.50 = 16,480.50 : x
  2. Step 2: Convert to fraction form
    8,460/16,480.50 = 16,480.50/x
  3. Step 3: Cross multiply
    8,460x = 16,480.50 × 16,480.50
  4. Step 4: Simplify right side
    8,460x = 271,606,880.25
  5. Step 5: Solve for x
    x = 271,606,880.25/8,460
  6. Step 6: Final answer
    x = 32,104.83

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.