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Finding the Third Proportional to 17,283 and 37,873.50

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Solution

The third proportional to 17,283 and 37,873.50 is: 82,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283 : 37,873.50 = 37,873.50 : x
  2. Step 2: Convert to fraction form
    17,283/37,873.50 = 37,873.50/x
  3. Step 3: Cross multiply
    17,283x = 37,873.50 × 37,873.50
  4. Step 4: Simplify right side
    17,283x = 1,434,402,002.25
  5. Step 5: Solve for x
    x = 1,434,402,002.25/17,283
  6. Step 6: Final answer
    x = 82,994.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.