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Finding the Third Proportional to 5,107.50 and 9,961.88

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Solution

The third proportional to 5,107.50 and 9,961.88 is: 19,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.50 : 9,961.88 = 9,961.88 : x
  2. Step 2: Convert to fraction form
    5,107.50/9,961.88 = 9,961.88/x
  3. Step 3: Cross multiply
    5,107.50x = 9,961.88 × 9,961.88
  4. Step 4: Simplify right side
    5,107.50x = 99,238,953.52
  5. Step 5: Solve for x
    x = 99,238,953.52/5,107.50
  6. Step 6: Final answer
    x = 19,430.04

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.