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Finding the Third Proportional to 30,410 and 45,494

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Solution

The third proportional to 30,410 and 45,494 is: 68,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410 : 45,494 = 45,494 : x
  2. Step 2: Convert to fraction form
    30,410/45,494 = 45,494/x
  3. Step 3: Cross multiply
    30,410x = 45,494 × 45,494
  4. Step 4: Simplify right side
    30,410x = 2,069,704,036
  5. Step 5: Solve for x
    x = 2,069,704,036/30,410
  6. Step 6: Final answer
    x = 68,059.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.