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Finding the Third Proportional to 25,922.75 and 38,033.75

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Solution

The third proportional to 25,922.75 and 38,033.75 is: 55,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.75 : 38,033.75 = 38,033.75 : x
  2. Step 2: Convert to fraction form
    25,922.75/38,033.75 = 38,033.75/x
  3. Step 3: Cross multiply
    25,922.75x = 38,033.75 × 38,033.75
  4. Step 4: Simplify right side
    25,922.75x = 1,446,566,139.06
  5. Step 5: Solve for x
    x = 1,446,566,139.06/25,922.75
  6. Step 6: Final answer
    x = 55,802.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.