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Finding the Third Proportional to 9,983.25 and 15,384.94

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Solution

The third proportional to 9,983.25 and 15,384.94 is: 23,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.25 : 15,384.94 = 15,384.94 : x
  2. Step 2: Convert to fraction form
    9,983.25/15,384.94 = 15,384.94/x
  3. Step 3: Cross multiply
    9,983.25x = 15,384.94 × 15,384.94
  4. Step 4: Simplify right side
    9,983.25x = 236,696,301.88
  5. Step 5: Solve for x
    x = 236,696,301.88/9,983.25
  6. Step 6: Final answer
    x = 23,709.34

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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.