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Finding the Third Proportional to 40,290.75 and 43,483.50

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Solution

The third proportional to 40,290.75 and 43,483.50 is: 46,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,290.75 : 43,483.50 = 43,483.50 : x
  2. Step 2: Convert to fraction form
    40,290.75/43,483.50 = 43,483.50/x
  3. Step 3: Cross multiply
    40,290.75x = 43,483.50 × 43,483.50
  4. Step 4: Simplify right side
    40,290.75x = 1,890,814,772.25
  5. Step 5: Solve for x
    x = 1,890,814,772.25/40,290.75
  6. Step 6: Final answer
    x = 46,929.25

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.