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Finding the Third Proportional to 8,820.50 and 19,063

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Solution

The third proportional to 8,820.50 and 19,063 is: 41,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.50 : 19,063 = 19,063 : x
  2. Step 2: Convert to fraction form
    8,820.50/19,063 = 19,063/x
  3. Step 3: Cross multiply
    8,820.50x = 19,063 × 19,063
  4. Step 4: Simplify right side
    8,820.50x = 363,397,969
  5. Step 5: Solve for x
    x = 363,397,969/8,820.50
  6. Step 6: Final answer
    x = 41,199.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.