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Finding the Third Proportional to 30,025.69 and 69,502.22

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Solution

The third proportional to 30,025.69 and 69,502.22 is: 160,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025.69 : 69,502.22 = 69,502.22 : x
  2. Step 2: Convert to fraction form
    30,025.69/69,502.22 = 69,502.22/x
  3. Step 3: Cross multiply
    30,025.69x = 69,502.22 × 69,502.22
  4. Step 4: Simplify right side
    30,025.69x = 4,830,558,411.17
  5. Step 5: Solve for x
    x = 4,830,558,411.17/30,025.69
  6. Step 6: Final answer
    x = 160,880.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.