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Finding the Third Proportional to 9,816.19 and 21,304.69

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Solution

The third proportional to 9,816.19 and 21,304.69 is: 46,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.19 : 21,304.69 = 21,304.69 : x
  2. Step 2: Convert to fraction form
    9,816.19/21,304.69 = 21,304.69/x
  3. Step 3: Cross multiply
    9,816.19x = 21,304.69 × 21,304.69
  4. Step 4: Simplify right side
    9,816.19x = 453,889,709.47
  5. Step 5: Solve for x
    x = 453,889,709.47/9,816.19
  6. Step 6: Final answer
    x = 46,238.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.