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Finding the Third Proportional to 14,690.50 and 22,068

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Solution

The third proportional to 14,690.50 and 22,068 is: 33,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.50 : 22,068 = 22,068 : x
  2. Step 2: Convert to fraction form
    14,690.50/22,068 = 22,068/x
  3. Step 3: Cross multiply
    14,690.50x = 22,068 × 22,068
  4. Step 4: Simplify right side
    14,690.50x = 486,996,624
  5. Step 5: Solve for x
    x = 486,996,624/14,690.50
  6. Step 6: Final answer
    x = 33,150.45

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Why These Related Problems?

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