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Finding the Third Proportional to 30,079 and 34,453

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Solution

The third proportional to 30,079 and 34,453 is: 39,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,079 : 34,453 = 34,453 : x
  2. Step 2: Convert to fraction form
    30,079/34,453 = 34,453/x
  3. Step 3: Cross multiply
    30,079x = 34,453 × 34,453
  4. Step 4: Simplify right side
    30,079x = 1,187,009,209
  5. Step 5: Solve for x
    x = 1,187,009,209/30,079
  6. Step 6: Final answer
    x = 39,463.05

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.