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Finding the Third Proportional to 19,176 and 29,328

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Solution

The third proportional to 19,176 and 29,328 is: 44,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 29,328 = 29,328 : x
  2. Step 2: Convert to fraction form
    19,176/29,328 = 29,328/x
  3. Step 3: Cross multiply
    19,176x = 29,328 × 29,328
  4. Step 4: Simplify right side
    19,176x = 860,131,584
  5. Step 5: Solve for x
    x = 860,131,584/19,176
  6. Step 6: Final answer
    x = 44,854.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.