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Finding the Third Proportional to 38,244 and 81,528

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Solution

The third proportional to 38,244 and 81,528 is: 173,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244 : 81,528 = 81,528 : x
  2. Step 2: Convert to fraction form
    38,244/81,528 = 81,528/x
  3. Step 3: Cross multiply
    38,244x = 81,528 × 81,528
  4. Step 4: Simplify right side
    38,244x = 6,646,814,784
  5. Step 5: Solve for x
    x = 6,646,814,784/38,244
  6. Step 6: Final answer
    x = 173,800.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.