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Finding the Third Proportional to 6,047 and 12,988

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Solution

The third proportional to 6,047 and 12,988 is: 27,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047 : 12,988 = 12,988 : x
  2. Step 2: Convert to fraction form
    6,047/12,988 = 12,988/x
  3. Step 3: Cross multiply
    6,047x = 12,988 × 12,988
  4. Step 4: Simplify right side
    6,047x = 168,688,144
  5. Step 5: Solve for x
    x = 168,688,144/6,047
  6. Step 6: Final answer
    x = 27,896.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.