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Finding the Third Proportional to 16,314 and 24,813

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Solution

The third proportional to 16,314 and 24,813 is: 37,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 24,813 = 24,813 : x
  2. Step 2: Convert to fraction form
    16,314/24,813 = 24,813/x
  3. Step 3: Cross multiply
    16,314x = 24,813 × 24,813
  4. Step 4: Simplify right side
    16,314x = 615,684,969
  5. Step 5: Solve for x
    x = 615,684,969/16,314
  6. Step 6: Final answer
    x = 37,739.67

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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.