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Finding the Third Proportional to 18,969 and 40,746

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Solution

The third proportional to 18,969 and 40,746 is: 87,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969 : 40,746 = 40,746 : x
  2. Step 2: Convert to fraction form
    18,969/40,746 = 40,746/x
  3. Step 3: Cross multiply
    18,969x = 40,746 × 40,746
  4. Step 4: Simplify right side
    18,969x = 1,660,236,516
  5. Step 5: Solve for x
    x = 1,660,236,516/18,969
  6. Step 6: Final answer
    x = 87,523.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.