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Finding the Third Proportional to 20,117.25 and 43,303.50

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Solution

The third proportional to 20,117.25 and 43,303.50 is: 93,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.25 : 43,303.50 = 43,303.50 : x
  2. Step 2: Convert to fraction form
    20,117.25/43,303.50 = 43,303.50/x
  3. Step 3: Cross multiply
    20,117.25x = 43,303.50 × 43,303.50
  4. Step 4: Simplify right side
    20,117.25x = 1,875,193,112.25
  5. Step 5: Solve for x
    x = 1,875,193,112.25/20,117.25
  6. Step 6: Final answer
    x = 93,213.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.