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Finding the Third Proportional to 6,312.94 and 15,311.53

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Solution

The third proportional to 6,312.94 and 15,311.53 is: 37,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.94 : 15,311.53 = 15,311.53 : x
  2. Step 2: Convert to fraction form
    6,312.94/15,311.53 = 15,311.53/x
  3. Step 3: Cross multiply
    6,312.94x = 15,311.53 × 15,311.53
  4. Step 4: Simplify right side
    6,312.94x = 234,442,989.22
  5. Step 5: Solve for x
    x = 234,442,989.22/6,312.94
  6. Step 6: Final answer
    x = 37,136.91

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.