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Finding the Third Proportional to 38,115 and 57,453

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Solution

The third proportional to 38,115 and 57,453 is: 86,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 57,453 = 57,453 : x
  2. Step 2: Convert to fraction form
    38,115/57,453 = 57,453/x
  3. Step 3: Cross multiply
    38,115x = 57,453 × 57,453
  4. Step 4: Simplify right side
    38,115x = 3,300,847,209
  5. Step 5: Solve for x
    x = 3,300,847,209/38,115
  6. Step 6: Final answer
    x = 86,602.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.