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Finding the Third Proportional to 30,712.50 and 67,196.25

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Solution

The third proportional to 30,712.50 and 67,196.25 is: 147,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.50 : 67,196.25 = 67,196.25 : x
  2. Step 2: Convert to fraction form
    30,712.50/67,196.25 = 67,196.25/x
  3. Step 3: Cross multiply
    30,712.50x = 67,196.25 × 67,196.25
  4. Step 4: Simplify right side
    30,712.50x = 4,515,336,014.06
  5. Step 5: Solve for x
    x = 4,515,336,014.06/30,712.50
  6. Step 6: Final answer
    x = 147,019.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.