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Finding the Third Proportional to 981.56 and 2,136.52

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Solution

The third proportional to 981.56 and 2,136.52 is: 4,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.56 : 2,136.52 = 2,136.52 : x
  2. Step 2: Convert to fraction form
    981.56/2,136.52 = 2,136.52/x
  3. Step 3: Cross multiply
    981.56x = 2,136.52 × 2,136.52
  4. Step 4: Simplify right side
    981.56x = 4,564,699.02
  5. Step 5: Solve for x
    x = 4,564,699.02/981.56
  6. Step 6: Final answer
    x = 4,650.44

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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.