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Finding the Third Proportional to 9,774 and 19,059.75

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Solution

The third proportional to 9,774 and 19,059.75 is: 37,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 19,059.75 = 19,059.75 : x
  2. Step 2: Convert to fraction form
    9,774/19,059.75 = 19,059.75/x
  3. Step 3: Cross multiply
    9,774x = 19,059.75 × 19,059.75
  4. Step 4: Simplify right side
    9,774x = 363,274,070.06
  5. Step 5: Solve for x
    x = 363,274,070.06/9,774
  6. Step 6: Final answer
    x = 37,167.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.