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Finding the Third Proportional to 27,647 and 64,991

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Solution

The third proportional to 27,647 and 64,991 is: 152,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 64,991 = 64,991 : x
  2. Step 2: Convert to fraction form
    27,647/64,991 = 64,991/x
  3. Step 3: Cross multiply
    27,647x = 64,991 × 64,991
  4. Step 4: Simplify right side
    27,647x = 4,223,830,081
  5. Step 5: Solve for x
    x = 4,223,830,081/27,647
  6. Step 6: Final answer
    x = 152,777.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.