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Finding the Third Proportional to 19,759 and 42,290

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Solution

The third proportional to 19,759 and 42,290 is: 90,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759 : 42,290 = 42,290 : x
  2. Step 2: Convert to fraction form
    19,759/42,290 = 42,290/x
  3. Step 3: Cross multiply
    19,759x = 42,290 × 42,290
  4. Step 4: Simplify right side
    19,759x = 1,788,444,100
  5. Step 5: Solve for x
    x = 1,788,444,100/19,759
  6. Step 6: Final answer
    x = 90,512.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.