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Finding the Third Proportional to 38,324 and 57,534

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Solution

The third proportional to 38,324 and 57,534 is: 86,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324 : 57,534 = 57,534 : x
  2. Step 2: Convert to fraction form
    38,324/57,534 = 57,534/x
  3. Step 3: Cross multiply
    38,324x = 57,534 × 57,534
  4. Step 4: Simplify right side
    38,324x = 3,310,161,156
  5. Step 5: Solve for x
    x = 3,310,161,156/38,324
  6. Step 6: Final answer
    x = 86,373.06

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Why These Related Problems?

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