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Finding the Third Proportional to 16,013.50 and 25,582

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Solution

The third proportional to 16,013.50 and 25,582 is: 40,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.50 : 25,582 = 25,582 : x
  2. Step 2: Convert to fraction form
    16,013.50/25,582 = 25,582/x
  3. Step 3: Cross multiply
    16,013.50x = 25,582 × 25,582
  4. Step 4: Simplify right side
    16,013.50x = 654,438,724
  5. Step 5: Solve for x
    x = 654,438,724/16,013.50
  6. Step 6: Final answer
    x = 40,867.94

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.