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Finding the Third Proportional to 42,686 and 65,955

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Solution

The third proportional to 42,686 and 65,955 is: 101,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,686 : 65,955 = 65,955 : x
  2. Step 2: Convert to fraction form
    42,686/65,955 = 65,955/x
  3. Step 3: Cross multiply
    42,686x = 65,955 × 65,955
  4. Step 4: Simplify right side
    42,686x = 4,350,062,025
  5. Step 5: Solve for x
    x = 4,350,062,025/42,686
  6. Step 6: Final answer
    x = 101,908.40

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Why These Related Problems?

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