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Finding the Third Proportional to 10,702 and 22,376

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Solution

The third proportional to 10,702 and 22,376 is: 46,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702 : 22,376 = 22,376 : x
  2. Step 2: Convert to fraction form
    10,702/22,376 = 22,376/x
  3. Step 3: Cross multiply
    10,702x = 22,376 × 22,376
  4. Step 4: Simplify right side
    10,702x = 500,685,376
  5. Step 5: Solve for x
    x = 500,685,376/10,702
  6. Step 6: Final answer
    x = 46,784.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.