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Finding the Third Proportional to 3,527.93 and 7,607.67

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Solution

The third proportional to 3,527.93 and 7,607.67 is: 16,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.93 : 7,607.67 = 7,607.67 : x
  2. Step 2: Convert to fraction form
    3,527.93/7,607.67 = 7,607.67/x
  3. Step 3: Cross multiply
    3,527.93x = 7,607.67 × 7,607.67
  4. Step 4: Simplify right side
    3,527.93x = 57,876,671.36
  5. Step 5: Solve for x
    x = 57,876,671.36/3,527.93
  6. Step 6: Final answer
    x = 16,405.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.