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Finding the Third Proportional to 30,652.17 and 67,500.84

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Solution

The third proportional to 30,652.17 and 67,500.84 is: 148,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.17 : 67,500.84 = 67,500.84 : x
  2. Step 2: Convert to fraction form
    30,652.17/67,500.84 = 67,500.84/x
  3. Step 3: Cross multiply
    30,652.17x = 67,500.84 × 67,500.84
  4. Step 4: Simplify right side
    30,652.17x = 4,556,363,906.96
  5. Step 5: Solve for x
    x = 4,556,363,906.96/30,652.17
  6. Step 6: Final answer
    x = 148,647.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.