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Finding the Third Proportional to 12,711.94 and 29,486.53

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Solution

The third proportional to 12,711.94 and 29,486.53 is: 68,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.94 : 29,486.53 = 29,486.53 : x
  2. Step 2: Convert to fraction form
    12,711.94/29,486.53 = 29,486.53/x
  3. Step 3: Cross multiply
    12,711.94x = 29,486.53 × 29,486.53
  4. Step 4: Simplify right side
    12,711.94x = 869,455,525.16
  5. Step 5: Solve for x
    x = 869,455,525.16/12,711.94
  6. Step 6: Final answer
    x = 68,396.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.