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Finding the Third Proportional to 27,690.75 and 65,010.38

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Solution

The third proportional to 27,690.75 and 65,010.38 is: 152,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.75 : 65,010.38 = 65,010.38 : x
  2. Step 2: Convert to fraction form
    27,690.75/65,010.38 = 65,010.38/x
  3. Step 3: Cross multiply
    27,690.75x = 65,010.38 × 65,010.38
  4. Step 4: Simplify right side
    27,690.75x = 4,226,348,857.64
  5. Step 5: Solve for x
    x = 4,226,348,857.64/27,690.75
  6. Step 6: Final answer
    x = 152,626.74

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