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Finding the Third Proportional to 30,675 and 45,006

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Solution

The third proportional to 30,675 and 45,006 is: 66,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675 : 45,006 = 45,006 : x
  2. Step 2: Convert to fraction form
    30,675/45,006 = 45,006/x
  3. Step 3: Cross multiply
    30,675x = 45,006 × 45,006
  4. Step 4: Simplify right side
    30,675x = 2,025,540,036
  5. Step 5: Solve for x
    x = 2,025,540,036/30,675
  6. Step 6: Final answer
    x = 66,032.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.