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Finding the Third Proportional to 9,704.81 and 15,043.22

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Solution

The third proportional to 9,704.81 and 15,043.22 is: 23,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.81 : 15,043.22 = 15,043.22 : x
  2. Step 2: Convert to fraction form
    9,704.81/15,043.22 = 15,043.22/x
  3. Step 3: Cross multiply
    9,704.81x = 15,043.22 × 15,043.22
  4. Step 4: Simplify right side
    9,704.81x = 226,298,430.36
  5. Step 5: Solve for x
    x = 226,298,430.36/9,704.81
  6. Step 6: Final answer
    x = 23,318.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.