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Finding the Third Proportional to 25,690.50 and 32,163.75

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Solution

The third proportional to 25,690.50 and 32,163.75 is: 40,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690.50 : 32,163.75 = 32,163.75 : x
  2. Step 2: Convert to fraction form
    25,690.50/32,163.75 = 32,163.75/x
  3. Step 3: Cross multiply
    25,690.50x = 32,163.75 × 32,163.75
  4. Step 4: Simplify right side
    25,690.50x = 1,034,506,814.06
  5. Step 5: Solve for x
    x = 1,034,506,814.06/25,690.50
  6. Step 6: Final answer
    x = 40,268.07

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.