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Finding the Third Proportional to 19,772.25 and 21,590.25

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Solution

The third proportional to 19,772.25 and 21,590.25 is: 23,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.25 : 21,590.25 = 21,590.25 : x
  2. Step 2: Convert to fraction form
    19,772.25/21,590.25 = 21,590.25/x
  3. Step 3: Cross multiply
    19,772.25x = 21,590.25 × 21,590.25
  4. Step 4: Simplify right side
    19,772.25x = 466,138,895.06
  5. Step 5: Solve for x
    x = 466,138,895.06/19,772.25
  6. Step 6: Final answer
    x = 23,575.41

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.