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Finding the Third Proportional to 6,970 and 16,024

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Solution

The third proportional to 6,970 and 16,024 is: 36,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970 : 16,024 = 16,024 : x
  2. Step 2: Convert to fraction form
    6,970/16,024 = 16,024/x
  3. Step 3: Cross multiply
    6,970x = 16,024 × 16,024
  4. Step 4: Simplify right side
    6,970x = 256,768,576
  5. Step 5: Solve for x
    x = 256,768,576/6,970
  6. Step 6: Final answer
    x = 36,839.11

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.