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Finding the Third Proportional to 7,029 and 10,614.38

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Solution

The third proportional to 7,029 and 10,614.38 is: 16,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029 : 10,614.38 = 10,614.38 : x
  2. Step 2: Convert to fraction form
    7,029/10,614.38 = 10,614.38/x
  3. Step 3: Cross multiply
    7,029x = 10,614.38 × 10,614.38
  4. Step 4: Simplify right side
    7,029x = 112,664,956.64
  5. Step 5: Solve for x
    x = 112,664,956.64/7,029
  6. Step 6: Final answer
    x = 16,028.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.