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Finding the Third Proportional to 4,348.37 and 9,542.50

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Solution

The third proportional to 4,348.37 and 9,542.50 is: 20,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.37 : 9,542.50 = 9,542.50 : x
  2. Step 2: Convert to fraction form
    4,348.37/9,542.50 = 9,542.50/x
  3. Step 3: Cross multiply
    4,348.37x = 9,542.50 × 9,542.50
  4. Step 4: Simplify right side
    4,348.37x = 91,059,231.70
  5. Step 5: Solve for x
    x = 91,059,231.70/4,348.37
  6. Step 6: Final answer
    x = 20,941.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.