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Finding the Third Proportional to 14,829.75 and 22,244.63

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Solution

The third proportional to 14,829.75 and 22,244.63 is: 33,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.75 : 22,244.63 = 22,244.63 : x
  2. Step 2: Convert to fraction form
    14,829.75/22,244.63 = 22,244.63/x
  3. Step 3: Cross multiply
    14,829.75x = 22,244.63 × 22,244.63
  4. Step 4: Simplify right side
    14,829.75x = 494,823,341.39
  5. Step 5: Solve for x
    x = 494,823,341.39/14,829.75
  6. Step 6: Final answer
    x = 33,366.94

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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.