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Finding the Third Proportional to 37,963.69 and 51,156.56

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Solution

The third proportional to 37,963.69 and 51,156.56 is: 68,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,963.69 : 51,156.56 = 51,156.56 : x
  2. Step 2: Convert to fraction form
    37,963.69/51,156.56 = 51,156.56/x
  3. Step 3: Cross multiply
    37,963.69x = 51,156.56 × 51,156.56
  4. Step 4: Simplify right side
    37,963.69x = 2,616,993,886.82
  5. Step 5: Solve for x
    x = 2,616,993,886.82/37,963.69
  6. Step 6: Final answer
    x = 68,934.13

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.