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Finding the Third Proportional to 30,176 and 45,766

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Solution

The third proportional to 30,176 and 45,766 is: 69,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176 : 45,766 = 45,766 : x
  2. Step 2: Convert to fraction form
    30,176/45,766 = 45,766/x
  3. Step 3: Cross multiply
    30,176x = 45,766 × 45,766
  4. Step 4: Simplify right side
    30,176x = 2,094,526,756
  5. Step 5: Solve for x
    x = 2,094,526,756/30,176
  6. Step 6: Final answer
    x = 69,410.35

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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.