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Finding the Third Proportional to 14,551.88 and 22,250.74

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Solution

The third proportional to 14,551.88 and 22,250.74 is: 34,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.88 : 22,250.74 = 22,250.74 : x
  2. Step 2: Convert to fraction form
    14,551.88/22,250.74 = 22,250.74/x
  3. Step 3: Cross multiply
    14,551.88x = 22,250.74 × 22,250.74
  4. Step 4: Simplify right side
    14,551.88x = 495,095,527.89
  5. Step 5: Solve for x
    x = 495,095,527.89/14,551.88
  6. Step 6: Final answer
    x = 34,022.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.