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Finding the Third Proportional to 51,035.06 and 74,770.59

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Solution

The third proportional to 51,035.06 and 74,770.59 is: 109,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,035.06 : 74,770.59 = 74,770.59 : x
  2. Step 2: Convert to fraction form
    51,035.06/74,770.59 = 74,770.59/x
  3. Step 3: Cross multiply
    51,035.06x = 74,770.59 × 74,770.59
  4. Step 4: Simplify right side
    51,035.06x = 5,590,641,689.73
  5. Step 5: Solve for x
    x = 5,590,641,689.73/51,035.06
  6. Step 6: Final answer
    x = 109,545.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.