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Finding the Third Proportional to 6,178 and 9,237

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Solution

The third proportional to 6,178 and 9,237 is: 13,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 9,237 = 9,237 : x
  2. Step 2: Convert to fraction form
    6,178/9,237 = 9,237/x
  3. Step 3: Cross multiply
    6,178x = 9,237 × 9,237
  4. Step 4: Simplify right side
    6,178x = 85,322,169
  5. Step 5: Solve for x
    x = 85,322,169/6,178
  6. Step 6: Final answer
    x = 13,810.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.