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Finding the Third Proportional to 19,028 and 30,303.50

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Solution

The third proportional to 19,028 and 30,303.50 is: 48,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,028 : 30,303.50 = 30,303.50 : x
  2. Step 2: Convert to fraction form
    19,028/30,303.50 = 30,303.50/x
  3. Step 3: Cross multiply
    19,028x = 30,303.50 × 30,303.50
  4. Step 4: Simplify right side
    19,028x = 918,302,112.25
  5. Step 5: Solve for x
    x = 918,302,112.25/19,028
  6. Step 6: Final answer
    x = 48,260.57

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