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Finding the Third Proportional to 10,026.75 and 21,727.50

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Solution

The third proportional to 10,026.75 and 21,727.50 is: 47,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.75 : 21,727.50 = 21,727.50 : x
  2. Step 2: Convert to fraction form
    10,026.75/21,727.50 = 21,727.50/x
  3. Step 3: Cross multiply
    10,026.75x = 21,727.50 × 21,727.50
  4. Step 4: Simplify right side
    10,026.75x = 472,084,256.25
  5. Step 5: Solve for x
    x = 472,084,256.25/10,026.75
  6. Step 6: Final answer
    x = 47,082.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.