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Finding the Third Proportional to 30,259.50 and 43,020

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Solution

The third proportional to 30,259.50 and 43,020 is: 61,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.50 : 43,020 = 43,020 : x
  2. Step 2: Convert to fraction form
    30,259.50/43,020 = 43,020/x
  3. Step 3: Cross multiply
    30,259.50x = 43,020 × 43,020
  4. Step 4: Simplify right side
    30,259.50x = 1,850,720,400
  5. Step 5: Solve for x
    x = 1,850,720,400/30,259.50
  6. Step 6: Final answer
    x = 61,161.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.