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Finding the Third Proportional to 38,510.44 and 51,510.94

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Solution

The third proportional to 38,510.44 and 51,510.94 is: 68,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.44 : 51,510.94 = 51,510.94 : x
  2. Step 2: Convert to fraction form
    38,510.44/51,510.94 = 51,510.94/x
  3. Step 3: Cross multiply
    38,510.44x = 51,510.94 × 51,510.94
  4. Step 4: Simplify right side
    38,510.44x = 2,653,376,682.13
  5. Step 5: Solve for x
    x = 2,653,376,682.13/38,510.44
  6. Step 6: Final answer
    x = 68,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.