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Finding the Third Proportional to 7,178.63 and 13,764.94

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Solution

The third proportional to 7,178.63 and 13,764.94 is: 26,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.63 : 13,764.94 = 13,764.94 : x
  2. Step 2: Convert to fraction form
    7,178.63/13,764.94 = 13,764.94/x
  3. Step 3: Cross multiply
    7,178.63x = 13,764.94 × 13,764.94
  4. Step 4: Simplify right side
    7,178.63x = 189,473,504.38
  5. Step 5: Solve for x
    x = 189,473,504.38/7,178.63
  6. Step 6: Final answer
    x = 26,394.12

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.