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Finding the Third Proportional to 3,675 and 9,970.50

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Solution

The third proportional to 3,675 and 9,970.50 is: 27,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 9,970.50 = 9,970.50 : x
  2. Step 2: Convert to fraction form
    3,675/9,970.50 = 9,970.50/x
  3. Step 3: Cross multiply
    3,675x = 9,970.50 × 9,970.50
  4. Step 4: Simplify right side
    3,675x = 99,410,870.25
  5. Step 5: Solve for x
    x = 99,410,870.25/3,675
  6. Step 6: Final answer
    x = 27,050.58

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.