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Finding the Third Proportional to 30,295.69 and 64,715.06

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Solution

The third proportional to 30,295.69 and 64,715.06 is: 138,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.69 : 64,715.06 = 64,715.06 : x
  2. Step 2: Convert to fraction form
    30,295.69/64,715.06 = 64,715.06/x
  3. Step 3: Cross multiply
    30,295.69x = 64,715.06 × 64,715.06
  4. Step 4: Simplify right side
    30,295.69x = 4,188,039,314.38
  5. Step 5: Solve for x
    x = 4,188,039,314.38/30,295.69
  6. Step 6: Final answer
    x = 138,238.79

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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.