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Finding the Third Proportional to 27,619.50 and 43,205.63

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Solution

The third proportional to 27,619.50 and 43,205.63 is: 67,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,619.50 : 43,205.63 = 43,205.63 : x
  2. Step 2: Convert to fraction form
    27,619.50/43,205.63 = 43,205.63/x
  3. Step 3: Cross multiply
    27,619.50x = 43,205.63 × 43,205.63
  4. Step 4: Simplify right side
    27,619.50x = 1,866,726,031.64
  5. Step 5: Solve for x
    x = 1,866,726,031.64/27,619.50
  6. Step 6: Final answer
    x = 67,587.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.