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Finding the Third Proportional to 34,083.38 and 72,904.88

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Solution

The third proportional to 34,083.38 and 72,904.88 is: 155,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083.38 : 72,904.88 = 72,904.88 : x
  2. Step 2: Convert to fraction form
    34,083.38/72,904.88 = 72,904.88/x
  3. Step 3: Cross multiply
    34,083.38x = 72,904.88 × 72,904.88
  4. Step 4: Simplify right side
    34,083.38x = 5,315,120,798.77
  5. Step 5: Solve for x
    x = 5,315,120,798.77/34,083.38
  6. Step 6: Final answer
    x = 155,944.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.