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Finding the Third Proportional to 29,916.50 and 60,814

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Solution

The third proportional to 29,916.50 and 60,814 is: 123,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916.50 : 60,814 = 60,814 : x
  2. Step 2: Convert to fraction form
    29,916.50/60,814 = 60,814/x
  3. Step 3: Cross multiply
    29,916.50x = 60,814 × 60,814
  4. Step 4: Simplify right side
    29,916.50x = 3,698,342,596
  5. Step 5: Solve for x
    x = 3,698,342,596/29,916.50
  6. Step 6: Final answer
    x = 123,622.17

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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.