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Finding the Third Proportional to 6,146 and 12,388

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Solution

The third proportional to 6,146 and 12,388 is: 24,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 12,388 = 12,388 : x
  2. Step 2: Convert to fraction form
    6,146/12,388 = 12,388/x
  3. Step 3: Cross multiply
    6,146x = 12,388 × 12,388
  4. Step 4: Simplify right side
    6,146x = 153,462,544
  5. Step 5: Solve for x
    x = 153,462,544/6,146
  6. Step 6: Final answer
    x = 24,969.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.