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Finding the Third Proportional to 34,382 and 74,558

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Solution

The third proportional to 34,382 and 74,558 is: 161,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382 : 74,558 = 74,558 : x
  2. Step 2: Convert to fraction form
    34,382/74,558 = 74,558/x
  3. Step 3: Cross multiply
    34,382x = 74,558 × 74,558
  4. Step 4: Simplify right side
    34,382x = 5,558,895,364
  5. Step 5: Solve for x
    x = 5,558,895,364/34,382
  6. Step 6: Final answer
    x = 161,680.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.