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Finding the Third Proportional to 30,045.75 and 43,519.50

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Solution

The third proportional to 30,045.75 and 43,519.50 is: 63,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.75 : 43,519.50 = 43,519.50 : x
  2. Step 2: Convert to fraction form
    30,045.75/43,519.50 = 43,519.50/x
  3. Step 3: Cross multiply
    30,045.75x = 43,519.50 × 43,519.50
  4. Step 4: Simplify right side
    30,045.75x = 1,893,946,880.25
  5. Step 5: Solve for x
    x = 1,893,946,880.25/30,045.75
  6. Step 6: Final answer
    x = 63,035.43

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.