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Finding the Third Proportional to 10,712 and 23,157

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Solution

The third proportional to 10,712 and 23,157 is: 50,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712 : 23,157 = 23,157 : x
  2. Step 2: Convert to fraction form
    10,712/23,157 = 23,157/x
  3. Step 3: Cross multiply
    10,712x = 23,157 × 23,157
  4. Step 4: Simplify right side
    10,712x = 536,246,649
  5. Step 5: Solve for x
    x = 536,246,649/10,712
  6. Step 6: Final answer
    x = 50,060.37

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Why These Related Problems?

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