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Finding the Third Proportional to 6,049 and 13,585

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Solution

The third proportional to 6,049 and 13,585 is: 30,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049 : 13,585 = 13,585 : x
  2. Step 2: Convert to fraction form
    6,049/13,585 = 13,585/x
  3. Step 3: Cross multiply
    6,049x = 13,585 × 13,585
  4. Step 4: Simplify right side
    6,049x = 184,552,225
  5. Step 5: Solve for x
    x = 184,552,225/6,049
  6. Step 6: Final answer
    x = 30,509.54

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.