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Finding the Third Proportional to 9,622.13 and 14,770.69

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Solution

The third proportional to 9,622.13 and 14,770.69 is: 22,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.13 : 14,770.69 = 14,770.69 : x
  2. Step 2: Convert to fraction form
    9,622.13/14,770.69 = 14,770.69/x
  3. Step 3: Cross multiply
    9,622.13x = 14,770.69 × 14,770.69
  4. Step 4: Simplify right side
    9,622.13x = 218,173,209.22
  5. Step 5: Solve for x
    x = 218,173,209.22/9,622.13
  6. Step 6: Final answer
    x = 22,674.12

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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.