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Finding the Third Proportional to 9,969.75 and 19,413

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Solution

The third proportional to 9,969.75 and 19,413 is: 37,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.75 : 19,413 = 19,413 : x
  2. Step 2: Convert to fraction form
    9,969.75/19,413 = 19,413/x
  3. Step 3: Cross multiply
    9,969.75x = 19,413 × 19,413
  4. Step 4: Simplify right side
    9,969.75x = 376,864,569
  5. Step 5: Solve for x
    x = 376,864,569/9,969.75
  6. Step 6: Final answer
    x = 37,800.80

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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.