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Finding the Third Proportional to 12,653.35 and 27,690.16

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Solution

The third proportional to 12,653.35 and 27,690.16 is: 60,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.35 : 27,690.16 = 27,690.16 : x
  2. Step 2: Convert to fraction form
    12,653.35/27,690.16 = 27,690.16/x
  3. Step 3: Cross multiply
    12,653.35x = 27,690.16 × 27,690.16
  4. Step 4: Simplify right side
    12,653.35x = 766,745,023.56
  5. Step 5: Solve for x
    x = 766,745,023.56/12,653.35
  6. Step 6: Final answer
    x = 60,596.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.