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Finding the Third Proportional to 15,645.66 and 32,382.28

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Solution

The third proportional to 15,645.66 and 32,382.28 is: 67,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.66 : 32,382.28 = 32,382.28 : x
  2. Step 2: Convert to fraction form
    15,645.66/32,382.28 = 32,382.28/x
  3. Step 3: Cross multiply
    15,645.66x = 32,382.28 × 32,382.28
  4. Step 4: Simplify right side
    15,645.66x = 1,048,612,138.95
  5. Step 5: Solve for x
    x = 1,048,612,138.95/15,645.66
  6. Step 6: Final answer
    x = 67,022.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.