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Finding the Third Proportional to 7,483.50 and 17,979.75

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Solution

The third proportional to 7,483.50 and 17,979.75 is: 43,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.50 : 17,979.75 = 17,979.75 : x
  2. Step 2: Convert to fraction form
    7,483.50/17,979.75 = 17,979.75/x
  3. Step 3: Cross multiply
    7,483.50x = 17,979.75 × 17,979.75
  4. Step 4: Simplify right side
    7,483.50x = 323,271,410.06
  5. Step 5: Solve for x
    x = 323,271,410.06/7,483.50
  6. Step 6: Final answer
    x = 43,197.89

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.