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Finding the Third Proportional to 10,088 and 19,120

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Solution

The third proportional to 10,088 and 19,120 is: 36,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088 : 19,120 = 19,120 : x
  2. Step 2: Convert to fraction form
    10,088/19,120 = 19,120/x
  3. Step 3: Cross multiply
    10,088x = 19,120 × 19,120
  4. Step 4: Simplify right side
    10,088x = 365,574,400
  5. Step 5: Solve for x
    x = 365,574,400/10,088
  6. Step 6: Final answer
    x = 36,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.