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Finding the Third Proportional to 16,419.38 and 24,750.56

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Solution

The third proportional to 16,419.38 and 24,750.56 is: 37,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.38 : 24,750.56 = 24,750.56 : x
  2. Step 2: Convert to fraction form
    16,419.38/24,750.56 = 24,750.56/x
  3. Step 3: Cross multiply
    16,419.38x = 24,750.56 × 24,750.56
  4. Step 4: Simplify right side
    16,419.38x = 612,590,344.07
  5. Step 5: Solve for x
    x = 612,590,344.07/16,419.38
  6. Step 6: Final answer
    x = 37,308.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.