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Finding the Third Proportional to 37,852.31 and 51,428.67

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Solution

The third proportional to 37,852.31 and 51,428.67 is: 69,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,852.31 : 51,428.67 = 51,428.67 : x
  2. Step 2: Convert to fraction form
    37,852.31/51,428.67 = 51,428.67/x
  3. Step 3: Cross multiply
    37,852.31x = 51,428.67 × 51,428.67
  4. Step 4: Simplify right side
    37,852.31x = 2,644,908,290.83
  5. Step 5: Solve for x
    x = 2,644,908,290.83/37,852.31
  6. Step 6: Final answer
    x = 69,874.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.