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Finding the Third Proportional to 11,698.50 and 25,065

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Solution

The third proportional to 11,698.50 and 25,065 is: 53,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.50 : 25,065 = 25,065 : x
  2. Step 2: Convert to fraction form
    11,698.50/25,065 = 25,065/x
  3. Step 3: Cross multiply
    11,698.50x = 25,065 × 25,065
  4. Step 4: Simplify right side
    11,698.50x = 628,254,225
  5. Step 5: Solve for x
    x = 628,254,225/11,698.50
  6. Step 6: Final answer
    x = 53,703.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.