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Finding the Third Proportional to 10,717 and 22,403

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Solution

The third proportional to 10,717 and 22,403 is: 46,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717 : 22,403 = 22,403 : x
  2. Step 2: Convert to fraction form
    10,717/22,403 = 22,403/x
  3. Step 3: Cross multiply
    10,717x = 22,403 × 22,403
  4. Step 4: Simplify right side
    10,717x = 501,894,409
  5. Step 5: Solve for x
    x = 501,894,409/10,717
  6. Step 6: Final answer
    x = 46,831.61

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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.