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Finding the Third Proportional to 5,907.94 and 8,985.09

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Solution

The third proportional to 5,907.94 and 8,985.09 is: 13,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.94 : 8,985.09 = 8,985.09 : x
  2. Step 2: Convert to fraction form
    5,907.94/8,985.09 = 8,985.09/x
  3. Step 3: Cross multiply
    5,907.94x = 8,985.09 × 8,985.09
  4. Step 4: Simplify right side
    5,907.94x = 80,731,909.70
  5. Step 5: Solve for x
    x = 80,731,909.70/5,907.94
  6. Step 6: Final answer
    x = 13,664.99

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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.