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Finding the Third Proportional to 19,698.50 and 29,567.94

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Solution

The third proportional to 19,698.50 and 29,567.94 is: 44,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.50 : 29,567.94 = 29,567.94 : x
  2. Step 2: Convert to fraction form
    19,698.50/29,567.94 = 29,567.94/x
  3. Step 3: Cross multiply
    19,698.50x = 29,567.94 × 29,567.94
  4. Step 4: Simplify right side
    19,698.50x = 874,262,928.00
  5. Step 5: Solve for x
    x = 874,262,928.00/19,698.50
  6. Step 6: Final answer
    x = 44,382.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.