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Finding the Third Proportional to 30,933.47 and 67,420.50

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Solution

The third proportional to 30,933.47 and 67,420.50 is: 146,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.47 : 67,420.50 = 67,420.50 : x
  2. Step 2: Convert to fraction form
    30,933.47/67,420.50 = 67,420.50/x
  3. Step 3: Cross multiply
    30,933.47x = 67,420.50 × 67,420.50
  4. Step 4: Simplify right side
    30,933.47x = 4,545,523,820.25
  5. Step 5: Solve for x
    x = 4,545,523,820.25/30,933.47
  6. Step 6: Final answer
    x = 146,945.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.