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Finding the Third Proportional to 27,772.88 and 59,909.63

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Solution

The third proportional to 27,772.88 and 59,909.63 is: 129,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.88 : 59,909.63 = 59,909.63 : x
  2. Step 2: Convert to fraction form
    27,772.88/59,909.63 = 59,909.63/x
  3. Step 3: Cross multiply
    27,772.88x = 59,909.63 × 59,909.63
  4. Step 4: Simplify right side
    27,772.88x = 3,589,163,167.64
  5. Step 5: Solve for x
    x = 3,589,163,167.64/27,772.88
  6. Step 6: Final answer
    x = 129,232.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.