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Finding the Third Proportional to 14,696.75 and 22,177.63

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Solution

The third proportional to 14,696.75 and 22,177.63 is: 33,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.75 : 22,177.63 = 22,177.63 : x
  2. Step 2: Convert to fraction form
    14,696.75/22,177.63 = 22,177.63/x
  3. Step 3: Cross multiply
    14,696.75x = 22,177.63 × 22,177.63
  4. Step 4: Simplify right side
    14,696.75x = 491,847,050.64
  5. Step 5: Solve for x
    x = 491,847,050.64/14,696.75
  6. Step 6: Final answer
    x = 33,466.38

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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.