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Finding the Third Proportional to 30,176 and 44,352

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Solution

The third proportional to 30,176 and 44,352 is: 65,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176 : 44,352 = 44,352 : x
  2. Step 2: Convert to fraction form
    30,176/44,352 = 44,352/x
  3. Step 3: Cross multiply
    30,176x = 44,352 × 44,352
  4. Step 4: Simplify right side
    30,176x = 1,967,099,904
  5. Step 5: Solve for x
    x = 1,967,099,904/30,176
  6. Step 6: Final answer
    x = 65,187.56

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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.