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Finding the Third Proportional to 34,606.30 and 74,011.22

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Solution

The third proportional to 34,606.30 and 74,011.22 is: 158,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606.30 : 74,011.22 = 74,011.22 : x
  2. Step 2: Convert to fraction form
    34,606.30/74,011.22 = 74,011.22/x
  3. Step 3: Cross multiply
    34,606.30x = 74,011.22 × 74,011.22
  4. Step 4: Simplify right side
    34,606.30x = 5,477,660,500.86
  5. Step 5: Solve for x
    x = 5,477,660,500.86/34,606.30
  6. Step 6: Final answer
    x = 158,285.06

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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.