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Finding the Third Proportional to 25,931.75 and 52,814.38

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Solution

The third proportional to 25,931.75 and 52,814.38 is: 107,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,931.75 : 52,814.38 = 52,814.38 : x
  2. Step 2: Convert to fraction form
    25,931.75/52,814.38 = 52,814.38/x
  3. Step 3: Cross multiply
    25,931.75x = 52,814.38 × 52,814.38
  4. Step 4: Simplify right side
    25,931.75x = 2,789,358,206.64
  5. Step 5: Solve for x
    x = 2,789,358,206.64/25,931.75
  6. Step 6: Final answer
    x = 107,565.37

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.