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Finding the Third Proportional to 3,607 and 3,985

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Solution

The third proportional to 3,607 and 3,985 is: 4,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 3,985 = 3,985 : x
  2. Step 2: Convert to fraction form
    3,607/3,985 = 3,985/x
  3. Step 3: Cross multiply
    3,607x = 3,985 × 3,985
  4. Step 4: Simplify right side
    3,607x = 15,880,225
  5. Step 5: Solve for x
    x = 15,880,225/3,607
  6. Step 6: Final answer
    x = 4,402.61

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.