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Finding the Third Proportional to 19,027.50 and 30,303

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Solution

The third proportional to 19,027.50 and 30,303 is: 48,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027.50 : 30,303 = 30,303 : x
  2. Step 2: Convert to fraction form
    19,027.50/30,303 = 30,303/x
  3. Step 3: Cross multiply
    19,027.50x = 30,303 × 30,303
  4. Step 4: Simplify right side
    19,027.50x = 918,271,809
  5. Step 5: Solve for x
    x = 918,271,809/19,027.50
  6. Step 6: Final answer
    x = 48,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.