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Finding the Third Proportional to 9,622.13 and 15,418.69

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Solution

The third proportional to 9,622.13 and 15,418.69 is: 24,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.13 : 15,418.69 = 15,418.69 : x
  2. Step 2: Convert to fraction form
    9,622.13/15,418.69 = 15,418.69/x
  3. Step 3: Cross multiply
    9,622.13x = 15,418.69 × 15,418.69
  4. Step 4: Simplify right side
    9,622.13x = 237,735,924.22
  5. Step 5: Solve for x
    x = 237,735,924.22/9,622.13
  6. Step 6: Final answer
    x = 24,707.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.