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Finding the Third Proportional to 1,178.63 and 2,529.38

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Solution

The third proportional to 1,178.63 and 2,529.38 is: 5,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.63 : 2,529.38 = 2,529.38 : x
  2. Step 2: Convert to fraction form
    1,178.63/2,529.38 = 2,529.38/x
  3. Step 3: Cross multiply
    1,178.63x = 2,529.38 × 2,529.38
  4. Step 4: Simplify right side
    1,178.63x = 6,397,737.89
  5. Step 5: Solve for x
    x = 6,397,737.89/1,178.63
  6. Step 6: Final answer
    x = 5,428.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.