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Finding the Third Proportional to 1,136.81 and 1,706.77

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Solution

The third proportional to 1,136.81 and 1,706.77 is: 2,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.81 : 1,706.77 = 1,706.77 : x
  2. Step 2: Convert to fraction form
    1,136.81/1,706.77 = 1,706.77/x
  3. Step 3: Cross multiply
    1,136.81x = 1,706.77 × 1,706.77
  4. Step 4: Simplify right side
    1,136.81x = 2,913,048.90
  5. Step 5: Solve for x
    x = 2,913,048.90/1,136.81
  6. Step 6: Final answer
    x = 2,562.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.