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Finding the Third Proportional to 27,686 and 42,985

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Solution

The third proportional to 27,686 and 42,985 is: 66,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686 : 42,985 = 42,985 : x
  2. Step 2: Convert to fraction form
    27,686/42,985 = 42,985/x
  3. Step 3: Cross multiply
    27,686x = 42,985 × 42,985
  4. Step 4: Simplify right side
    27,686x = 1,847,710,225
  5. Step 5: Solve for x
    x = 1,847,710,225/27,686
  6. Step 6: Final answer
    x = 66,738.07

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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.