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Finding the Third Proportional to 12,711.94 and 14,557.22

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Solution

The third proportional to 12,711.94 and 14,557.22 is: 16,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.94 : 14,557.22 = 14,557.22 : x
  2. Step 2: Convert to fraction form
    12,711.94/14,557.22 = 14,557.22/x
  3. Step 3: Cross multiply
    12,711.94x = 14,557.22 × 14,557.22
  4. Step 4: Simplify right side
    12,711.94x = 211,912,617.74
  5. Step 5: Solve for x
    x = 211,912,617.74/12,711.94
  6. Step 6: Final answer
    x = 16,670.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.