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Finding the Third Proportional to 5,604.19 and 9,756.07

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Solution

The third proportional to 5,604.19 and 9,756.07 is: 16,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.19 : 9,756.07 = 9,756.07 : x
  2. Step 2: Convert to fraction form
    5,604.19/9,756.07 = 9,756.07/x
  3. Step 3: Cross multiply
    5,604.19x = 9,756.07 × 9,756.07
  4. Step 4: Simplify right side
    5,604.19x = 95,180,907.94
  5. Step 5: Solve for x
    x = 95,180,907.94/5,604.19
  6. Step 6: Final answer
    x = 16,983.89

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.