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Finding the Third Proportional to 38,426 and 57,395

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Solution

The third proportional to 38,426 and 57,395 is: 85,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 57,395 = 57,395 : x
  2. Step 2: Convert to fraction form
    38,426/57,395 = 57,395/x
  3. Step 3: Cross multiply
    38,426x = 57,395 × 57,395
  4. Step 4: Simplify right side
    38,426x = 3,294,186,025
  5. Step 5: Solve for x
    x = 3,294,186,025/38,426
  6. Step 6: Final answer
    x = 85,728.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.