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Finding the Third Proportional to 19,088 and 30,392

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Solution

The third proportional to 19,088 and 30,392 is: 48,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,088 : 30,392 = 30,392 : x
  2. Step 2: Convert to fraction form
    19,088/30,392 = 30,392/x
  3. Step 3: Cross multiply
    19,088x = 30,392 × 30,392
  4. Step 4: Simplify right side
    19,088x = 923,673,664
  5. Step 5: Solve for x
    x = 923,673,664/19,088
  6. Step 6: Final answer
    x = 48,390.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.