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Finding the Third Proportional to 3,126 and 4,616.50

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Solution

The third proportional to 3,126 and 4,616.50 is: 6,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126 : 4,616.50 = 4,616.50 : x
  2. Step 2: Convert to fraction form
    3,126/4,616.50 = 4,616.50/x
  3. Step 3: Cross multiply
    3,126x = 4,616.50 × 4,616.50
  4. Step 4: Simplify right side
    3,126x = 21,312,072.25
  5. Step 5: Solve for x
    x = 21,312,072.25/3,126
  6. Step 6: Final answer
    x = 6,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.