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Finding the Third Proportional to 9,563 and 14,771.50

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Solution

The third proportional to 9,563 and 14,771.50 is: 22,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563 : 14,771.50 = 14,771.50 : x
  2. Step 2: Convert to fraction form
    9,563/14,771.50 = 14,771.50/x
  3. Step 3: Cross multiply
    9,563x = 14,771.50 × 14,771.50
  4. Step 4: Simplify right side
    9,563x = 218,197,212.25
  5. Step 5: Solve for x
    x = 218,197,212.25/9,563
  6. Step 6: Final answer
    x = 22,816.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.