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Finding the Third Proportional to 6,297 and 11,653.50

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Solution

The third proportional to 6,297 and 11,653.50 is: 21,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 11,653.50 = 11,653.50 : x
  2. Step 2: Convert to fraction form
    6,297/11,653.50 = 11,653.50/x
  3. Step 3: Cross multiply
    6,297x = 11,653.50 × 11,653.50
  4. Step 4: Simplify right side
    6,297x = 135,804,062.25
  5. Step 5: Solve for x
    x = 135,804,062.25/6,297
  6. Step 6: Final answer
    x = 21,566.47

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.