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Finding the Third Proportional to 16,419 and 25,360.50

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Solution

The third proportional to 16,419 and 25,360.50 is: 39,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419 : 25,360.50 = 25,360.50 : x
  2. Step 2: Convert to fraction form
    16,419/25,360.50 = 25,360.50/x
  3. Step 3: Cross multiply
    16,419x = 25,360.50 × 25,360.50
  4. Step 4: Simplify right side
    16,419x = 643,154,960.25
  5. Step 5: Solve for x
    x = 643,154,960.25/16,419
  6. Step 6: Final answer
    x = 39,171.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.