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Finding the Third Proportional to 19,509.75 and 28,834.88

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Solution

The third proportional to 19,509.75 and 28,834.88 is: 42,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.75 : 28,834.88 = 28,834.88 : x
  2. Step 2: Convert to fraction form
    19,509.75/28,834.88 = 28,834.88/x
  3. Step 3: Cross multiply
    19,509.75x = 28,834.88 × 28,834.88
  4. Step 4: Simplify right side
    19,509.75x = 831,450,016.27
  5. Step 5: Solve for x
    x = 831,450,016.27/19,509.75
  6. Step 6: Final answer
    x = 42,617.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.