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Finding the Third Proportional to 19,152 and 40,176

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Solution

The third proportional to 19,152 and 40,176 is: 84,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152 : 40,176 = 40,176 : x
  2. Step 2: Convert to fraction form
    19,152/40,176 = 40,176/x
  3. Step 3: Cross multiply
    19,152x = 40,176 × 40,176
  4. Step 4: Simplify right side
    19,152x = 1,614,110,976
  5. Step 5: Solve for x
    x = 1,614,110,976/19,152
  6. Step 6: Final answer
    x = 84,278.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.