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Finding the Third Proportional to 23,712 and 50,702

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Solution

The third proportional to 23,712 and 50,702 is: 108,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 50,702 = 50,702 : x
  2. Step 2: Convert to fraction form
    23,712/50,702 = 50,702/x
  3. Step 3: Cross multiply
    23,712x = 50,702 × 50,702
  4. Step 4: Simplify right side
    23,712x = 2,570,692,804
  5. Step 5: Solve for x
    x = 2,570,692,804/23,712
  6. Step 6: Final answer
    x = 108,413.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.