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Finding the Third Proportional to 9,778.50 and 21,372.75

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Solution

The third proportional to 9,778.50 and 21,372.75 is: 46,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.50 : 21,372.75 = 21,372.75 : x
  2. Step 2: Convert to fraction form
    9,778.50/21,372.75 = 21,372.75/x
  3. Step 3: Cross multiply
    9,778.50x = 21,372.75 × 21,372.75
  4. Step 4: Simplify right side
    9,778.50x = 456,794,442.56
  5. Step 5: Solve for x
    x = 456,794,442.56/9,778.50
  6. Step 6: Final answer
    x = 46,714.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.