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Finding the Third Proportional to 30,880.50 and 62,854.50

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Solution

The third proportional to 30,880.50 and 62,854.50 is: 127,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.50 : 62,854.50 = 62,854.50 : x
  2. Step 2: Convert to fraction form
    30,880.50/62,854.50 = 62,854.50/x
  3. Step 3: Cross multiply
    30,880.50x = 62,854.50 × 62,854.50
  4. Step 4: Simplify right side
    30,880.50x = 3,950,688,170.25
  5. Step 5: Solve for x
    x = 3,950,688,170.25/30,880.50
  6. Step 6: Final answer
    x = 127,934.72

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.