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Finding the Third Proportional to 19,735.50 and 42,270

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Solution

The third proportional to 19,735.50 and 42,270 is: 90,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.50 : 42,270 = 42,270 : x
  2. Step 2: Convert to fraction form
    19,735.50/42,270 = 42,270/x
  3. Step 3: Cross multiply
    19,735.50x = 42,270 × 42,270
  4. Step 4: Simplify right side
    19,735.50x = 1,786,752,900
  5. Step 5: Solve for x
    x = 1,786,752,900/19,735.50
  6. Step 6: Final answer
    x = 90,534.97

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