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Finding the Third Proportional to 45,585.28 and 69,006.94

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Solution

The third proportional to 45,585.28 and 69,006.94 is: 104,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,585.28 : 69,006.94 = 69,006.94 : x
  2. Step 2: Convert to fraction form
    45,585.28/69,006.94 = 69,006.94/x
  3. Step 3: Cross multiply
    45,585.28x = 69,006.94 × 69,006.94
  4. Step 4: Simplify right side
    45,585.28x = 4,761,957,423.13
  5. Step 5: Solve for x
    x = 4,761,957,423.13/45,585.28
  6. Step 6: Final answer
    x = 104,462.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.