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Finding the Third Proportional to 34,473.73 and 74,225.11

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Solution

The third proportional to 34,473.73 and 74,225.11 is: 159,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.73 : 74,225.11 = 74,225.11 : x
  2. Step 2: Convert to fraction form
    34,473.73/74,225.11 = 74,225.11/x
  3. Step 3: Cross multiply
    34,473.73x = 74,225.11 × 74,225.11
  4. Step 4: Simplify right side
    34,473.73x = 5,509,366,861.73
  5. Step 5: Solve for x
    x = 5,509,366,861.73/34,473.73
  6. Step 6: Final answer
    x = 159,813.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.