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Finding the Third Proportional to 16,869.50 and 25,212.50

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Solution

The third proportional to 16,869.50 and 25,212.50 is: 37,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869.50 : 25,212.50 = 25,212.50 : x
  2. Step 2: Convert to fraction form
    16,869.50/25,212.50 = 25,212.50/x
  3. Step 3: Cross multiply
    16,869.50x = 25,212.50 × 25,212.50
  4. Step 4: Simplify right side
    16,869.50x = 635,670,156.25
  5. Step 5: Solve for x
    x = 635,670,156.25/16,869.50
  6. Step 6: Final answer
    x = 37,681.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.