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Finding the Third Proportional to 31,528.75 and 65,977.75

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Solution

The third proportional to 31,528.75 and 65,977.75 is: 138,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528.75 : 65,977.75 = 65,977.75 : x
  2. Step 2: Convert to fraction form
    31,528.75/65,977.75 = 65,977.75/x
  3. Step 3: Cross multiply
    31,528.75x = 65,977.75 × 65,977.75
  4. Step 4: Simplify right side
    31,528.75x = 4,353,063,495.06
  5. Step 5: Solve for x
    x = 4,353,063,495.06/31,528.75
  6. Step 6: Final answer
    x = 138,066.48

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.