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Finding the Third Proportional to 16,215 and 25,192.50

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Solution

The third proportional to 16,215 and 25,192.50 is: 39,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215 : 25,192.50 = 25,192.50 : x
  2. Step 2: Convert to fraction form
    16,215/25,192.50 = 25,192.50/x
  3. Step 3: Cross multiply
    16,215x = 25,192.50 × 25,192.50
  4. Step 4: Simplify right side
    16,215x = 634,662,056.25
  5. Step 5: Solve for x
    x = 634,662,056.25/16,215
  6. Step 6: Final answer
    x = 39,140.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.