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Finding the Third Proportional to 9,622.50 and 14,434

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Solution

The third proportional to 9,622.50 and 14,434 is: 21,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.50 : 14,434 = 14,434 : x
  2. Step 2: Convert to fraction form
    9,622.50/14,434 = 14,434/x
  3. Step 3: Cross multiply
    9,622.50x = 14,434 × 14,434
  4. Step 4: Simplify right side
    9,622.50x = 208,340,356
  5. Step 5: Solve for x
    x = 208,340,356/9,622.50
  6. Step 6: Final answer
    x = 21,651.38

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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.