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Finding the Third Proportional to 9,803 and 23,138

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Solution

The third proportional to 9,803 and 23,138 is: 54,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803 : 23,138 = 23,138 : x
  2. Step 2: Convert to fraction form
    9,803/23,138 = 23,138/x
  3. Step 3: Cross multiply
    9,803x = 23,138 × 23,138
  4. Step 4: Simplify right side
    9,803x = 535,367,044
  5. Step 5: Solve for x
    x = 535,367,044/9,803
  6. Step 6: Final answer
    x = 54,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.