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Finding the Third Proportional to 10,973 and 23,719

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Solution

The third proportional to 10,973 and 23,719 is: 51,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973 : 23,719 = 23,719 : x
  2. Step 2: Convert to fraction form
    10,973/23,719 = 23,719/x
  3. Step 3: Cross multiply
    10,973x = 23,719 × 23,719
  4. Step 4: Simplify right side
    10,973x = 562,590,961
  5. Step 5: Solve for x
    x = 562,590,961/10,973
  6. Step 6: Final answer
    x = 51,270.48

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