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Finding the Third Proportional to 38,348 and 82,528

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Solution

The third proportional to 38,348 and 82,528 is: 177,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 82,528 = 82,528 : x
  2. Step 2: Convert to fraction form
    38,348/82,528 = 82,528/x
  3. Step 3: Cross multiply
    38,348x = 82,528 × 82,528
  4. Step 4: Simplify right side
    38,348x = 6,810,870,784
  5. Step 5: Solve for x
    x = 6,810,870,784/38,348
  6. Step 6: Final answer
    x = 177,606.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.