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Finding the Third Proportional to 10,778 and 23,728

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Solution

The third proportional to 10,778 and 23,728 is: 52,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778 : 23,728 = 23,728 : x
  2. Step 2: Convert to fraction form
    10,778/23,728 = 23,728/x
  3. Step 3: Cross multiply
    10,778x = 23,728 × 23,728
  4. Step 4: Simplify right side
    10,778x = 563,017,984
  5. Step 5: Solve for x
    x = 563,017,984/10,778
  6. Step 6: Final answer
    x = 52,237.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.