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Finding the Third Proportional to 10,803 and 23,142

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Solution

The third proportional to 10,803 and 23,142 is: 49,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803 : 23,142 = 23,142 : x
  2. Step 2: Convert to fraction form
    10,803/23,142 = 23,142/x
  3. Step 3: Cross multiply
    10,803x = 23,142 × 23,142
  4. Step 4: Simplify right side
    10,803x = 535,552,164
  5. Step 5: Solve for x
    x = 535,552,164/10,803
  6. Step 6: Final answer
    x = 49,574.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.