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Finding the Third Proportional to 25,509.30 and 38,289.59

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Solution

The third proportional to 25,509.30 and 38,289.59 is: 57,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.30 : 38,289.59 = 38,289.59 : x
  2. Step 2: Convert to fraction form
    25,509.30/38,289.59 = 38,289.59/x
  3. Step 3: Cross multiply
    25,509.30x = 38,289.59 × 38,289.59
  4. Step 4: Simplify right side
    25,509.30x = 1,466,092,391.27
  5. Step 5: Solve for x
    x = 1,466,092,391.27/25,509.30
  6. Step 6: Final answer
    x = 57,472.85

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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.