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Finding the Third Proportional to 13,083 and 28,515

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Solution

The third proportional to 13,083 and 28,515 is: 62,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083 : 28,515 = 28,515 : x
  2. Step 2: Convert to fraction form
    13,083/28,515 = 28,515/x
  3. Step 3: Cross multiply
    13,083x = 28,515 × 28,515
  4. Step 4: Simplify right side
    13,083x = 813,105,225
  5. Step 5: Solve for x
    x = 813,105,225/13,083
  6. Step 6: Final answer
    x = 62,149.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.