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Finding the Third Proportional to 16,125 and 24,430.78

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Solution

The third proportional to 16,125 and 24,430.78 is: 37,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125 : 24,430.78 = 24,430.78 : x
  2. Step 2: Convert to fraction form
    16,125/24,430.78 = 24,430.78/x
  3. Step 3: Cross multiply
    16,125x = 24,430.78 × 24,430.78
  4. Step 4: Simplify right side
    16,125x = 596,863,072.49
  5. Step 5: Solve for x
    x = 596,863,072.49/16,125
  6. Step 6: Final answer
    x = 37,014.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.