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Finding the Third Proportional to 10,194.75 and 14,034.38

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Solution

The third proportional to 10,194.75 and 14,034.38 is: 19,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.75 : 14,034.38 = 14,034.38 : x
  2. Step 2: Convert to fraction form
    10,194.75/14,034.38 = 14,034.38/x
  3. Step 3: Cross multiply
    10,194.75x = 14,034.38 × 14,034.38
  4. Step 4: Simplify right side
    10,194.75x = 196,963,681.64
  5. Step 5: Solve for x
    x = 196,963,681.64/10,194.75
  6. Step 6: Final answer
    x = 19,320.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.