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Finding the Third Proportional to 42,686.37 and 65,954.57

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Solution

The third proportional to 42,686.37 and 65,954.57 is: 101,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,686.37 : 65,954.57 = 65,954.57 : x
  2. Step 2: Convert to fraction form
    42,686.37/65,954.57 = 65,954.57/x
  3. Step 3: Cross multiply
    42,686.37x = 65,954.57 × 65,954.57
  4. Step 4: Simplify right side
    42,686.37x = 4,350,004,829.84
  5. Step 5: Solve for x
    x = 4,350,004,829.84/42,686.37
  6. Step 6: Final answer
    x = 101,906.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.