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Finding the Third Proportional to 34,624.65 and 74,785.15

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Solution

The third proportional to 34,624.65 and 74,785.15 is: 161,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624.65 : 74,785.15 = 74,785.15 : x
  2. Step 2: Convert to fraction form
    34,624.65/74,785.15 = 74,785.15/x
  3. Step 3: Cross multiply
    34,624.65x = 74,785.15 × 74,785.15
  4. Step 4: Simplify right side
    34,624.65x = 5,592,818,426.82
  5. Step 5: Solve for x
    x = 5,592,818,426.82/34,624.65
  6. Step 6: Final answer
    x = 161,527.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.