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Finding the Third Proportional to 30,516 and 62,914.50

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Solution

The third proportional to 30,516 and 62,914.50 is: 129,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516 : 62,914.50 = 62,914.50 : x
  2. Step 2: Convert to fraction form
    30,516/62,914.50 = 62,914.50/x
  3. Step 3: Cross multiply
    30,516x = 62,914.50 × 62,914.50
  4. Step 4: Simplify right side
    30,516x = 3,958,234,310.25
  5. Step 5: Solve for x
    x = 3,958,234,310.25/30,516
  6. Step 6: Final answer
    x = 129,710.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.