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Finding the Third Proportional to 4,302.75 and 6,539.63

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Solution

The third proportional to 4,302.75 and 6,539.63 is: 9,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.75 : 6,539.63 = 6,539.63 : x
  2. Step 2: Convert to fraction form
    4,302.75/6,539.63 = 6,539.63/x
  3. Step 3: Cross multiply
    4,302.75x = 6,539.63 × 6,539.63
  4. Step 4: Simplify right side
    4,302.75x = 42,766,695.14
  5. Step 5: Solve for x
    x = 42,766,695.14/4,302.75
  6. Step 6: Final answer
    x = 9,939.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.