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Finding the Third Proportional to 14,965.88 and 22,448.81

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Solution

The third proportional to 14,965.88 and 22,448.81 is: 33,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.88 : 22,448.81 = 22,448.81 : x
  2. Step 2: Convert to fraction form
    14,965.88/22,448.81 = 22,448.81/x
  3. Step 3: Cross multiply
    14,965.88x = 22,448.81 × 22,448.81
  4. Step 4: Simplify right side
    14,965.88x = 503,949,182.66
  5. Step 5: Solve for x
    x = 503,949,182.66/14,965.88
  6. Step 6: Final answer
    x = 33,673.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.