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Finding the Third Proportional to 10,673 and 23,047

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Solution

The third proportional to 10,673 and 23,047 is: 49,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673 : 23,047 = 23,047 : x
  2. Step 2: Convert to fraction form
    10,673/23,047 = 23,047/x
  3. Step 3: Cross multiply
    10,673x = 23,047 × 23,047
  4. Step 4: Simplify right side
    10,673x = 531,164,209
  5. Step 5: Solve for x
    x = 531,164,209/10,673
  6. Step 6: Final answer
    x = 49,767.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.