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Finding the Third Proportional to 6,962.06 and 14,653.13

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Solution

The third proportional to 6,962.06 and 14,653.13 is: 30,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.06 : 14,653.13 = 14,653.13 : x
  2. Step 2: Convert to fraction form
    6,962.06/14,653.13 = 14,653.13/x
  3. Step 3: Cross multiply
    6,962.06x = 14,653.13 × 14,653.13
  4. Step 4: Simplify right side
    6,962.06x = 214,714,072.27
  5. Step 5: Solve for x
    x = 214,714,072.27/6,962.06
  6. Step 6: Final answer
    x = 30,840.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.