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Finding the Third Proportional to 22,776 and 47,696

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Solution

The third proportional to 22,776 and 47,696 is: 99,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776 : 47,696 = 47,696 : x
  2. Step 2: Convert to fraction form
    22,776/47,696 = 47,696/x
  3. Step 3: Cross multiply
    22,776x = 47,696 × 47,696
  4. Step 4: Simplify right side
    22,776x = 2,274,908,416
  5. Step 5: Solve for x
    x = 2,274,908,416/22,776
  6. Step 6: Final answer
    x = 99,881.82

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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.