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Finding the Third Proportional to 7,350.75 and 14,461.88

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Solution

The third proportional to 7,350.75 and 14,461.88 is: 28,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.75 : 14,461.88 = 14,461.88 : x
  2. Step 2: Convert to fraction form
    7,350.75/14,461.88 = 14,461.88/x
  3. Step 3: Cross multiply
    7,350.75x = 14,461.88 × 14,461.88
  4. Step 4: Simplify right side
    7,350.75x = 209,145,828.52
  5. Step 5: Solve for x
    x = 209,145,828.52/7,350.75
  6. Step 6: Final answer
    x = 28,452.31

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.