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Finding the Third Proportional to 28,637 and 58,083

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Solution

The third proportional to 28,637 and 58,083 is: 117,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,637 : 58,083 = 58,083 : x
  2. Step 2: Convert to fraction form
    28,637/58,083 = 58,083/x
  3. Step 3: Cross multiply
    28,637x = 58,083 × 58,083
  4. Step 4: Simplify right side
    28,637x = 3,373,634,889
  5. Step 5: Solve for x
    x = 3,373,634,889/28,637
  6. Step 6: Final answer
    x = 117,806.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.