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Finding the Third Proportional to 30,916.50 and 66,633

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Solution

The third proportional to 30,916.50 and 66,633 is: 143,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.50 : 66,633 = 66,633 : x
  2. Step 2: Convert to fraction form
    30,916.50/66,633 = 66,633/x
  3. Step 3: Cross multiply
    30,916.50x = 66,633 × 66,633
  4. Step 4: Simplify right side
    30,916.50x = 4,439,956,689
  5. Step 5: Solve for x
    x = 4,439,956,689/30,916.50
  6. Step 6: Final answer
    x = 143,611.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.