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Finding the Third Proportional to 34,418.67 and 72,966.45

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Solution

The third proportional to 34,418.67 and 72,966.45 is: 154,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418.67 : 72,966.45 = 72,966.45 : x
  2. Step 2: Convert to fraction form
    34,418.67/72,966.45 = 72,966.45/x
  3. Step 3: Cross multiply
    34,418.67x = 72,966.45 × 72,966.45
  4. Step 4: Simplify right side
    34,418.67x = 5,324,102,141.54
  5. Step 5: Solve for x
    x = 5,324,102,141.54/34,418.67
  6. Step 6: Final answer
    x = 154,686.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.