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Finding the Third Proportional to 38,537 and 58,083

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Solution

The third proportional to 38,537 and 58,083 is: 87,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537 : 58,083 = 58,083 : x
  2. Step 2: Convert to fraction form
    38,537/58,083 = 58,083/x
  3. Step 3: Cross multiply
    38,537x = 58,083 × 58,083
  4. Step 4: Simplify right side
    38,537x = 3,373,634,889
  5. Step 5: Solve for x
    x = 3,373,634,889/38,537
  6. Step 6: Final answer
    x = 87,542.75

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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.