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Finding the Third Proportional to 34,838.44 and 53,382.38

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Solution

The third proportional to 34,838.44 and 53,382.38 is: 81,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,838.44 : 53,382.38 = 53,382.38 : x
  2. Step 2: Convert to fraction form
    34,838.44/53,382.38 = 53,382.38/x
  3. Step 3: Cross multiply
    34,838.44x = 53,382.38 × 53,382.38
  4. Step 4: Simplify right side
    34,838.44x = 2,849,677,960.64
  5. Step 5: Solve for x
    x = 2,849,677,960.64/34,838.44
  6. Step 6: Final answer
    x = 81,796.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.