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Finding the Third Proportional to 30,045 and 69,552

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Solution

The third proportional to 30,045 and 69,552 is: 161,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045 : 69,552 = 69,552 : x
  2. Step 2: Convert to fraction form
    30,045/69,552 = 69,552/x
  3. Step 3: Cross multiply
    30,045x = 69,552 × 69,552
  4. Step 4: Simplify right side
    30,045x = 4,837,480,704
  5. Step 5: Solve for x
    x = 4,837,480,704/30,045
  6. Step 6: Final answer
    x = 161,007.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.