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Finding the Third Proportional to 10,698.75 and 15,651.94

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Solution

The third proportional to 10,698.75 and 15,651.94 is: 22,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.75 : 15,651.94 = 15,651.94 : x
  2. Step 2: Convert to fraction form
    10,698.75/15,651.94 = 15,651.94/x
  3. Step 3: Cross multiply
    10,698.75x = 15,651.94 × 15,651.94
  4. Step 4: Simplify right side
    10,698.75x = 244,983,147.50
  5. Step 5: Solve for x
    x = 244,983,147.50/10,698.75
  6. Step 6: Final answer
    x = 22,898.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.