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Finding the Third Proportional to 30,356.50 and 62,216

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Solution

The third proportional to 30,356.50 and 62,216 is: 127,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356.50 : 62,216 = 62,216 : x
  2. Step 2: Convert to fraction form
    30,356.50/62,216 = 62,216/x
  3. Step 3: Cross multiply
    30,356.50x = 62,216 × 62,216
  4. Step 4: Simplify right side
    30,356.50x = 3,870,830,656
  5. Step 5: Solve for x
    x = 3,870,830,656/30,356.50
  6. Step 6: Final answer
    x = 127,512.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.