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Finding the Third Proportional to 9,622.55 and 14,395.22

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Solution

The third proportional to 9,622.55 and 14,395.22 is: 21,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.55 : 14,395.22 = 14,395.22 : x
  2. Step 2: Convert to fraction form
    9,622.55/14,395.22 = 14,395.22/x
  3. Step 3: Cross multiply
    9,622.55x = 14,395.22 × 14,395.22
  4. Step 4: Simplify right side
    9,622.55x = 207,222,322.86
  5. Step 5: Solve for x
    x = 207,222,322.86/9,622.55
  6. Step 6: Final answer
    x = 21,535.08

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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.