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Finding the Third Proportional to 20,355.75 and 22,898.25

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Solution

The third proportional to 20,355.75 and 22,898.25 is: 25,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.75 : 22,898.25 = 22,898.25 : x
  2. Step 2: Convert to fraction form
    20,355.75/22,898.25 = 22,898.25/x
  3. Step 3: Cross multiply
    20,355.75x = 22,898.25 × 22,898.25
  4. Step 4: Simplify right side
    20,355.75x = 524,329,853.06
  5. Step 5: Solve for x
    x = 524,329,853.06/20,355.75
  6. Step 6: Final answer
    x = 25,758.32

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.