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Finding the Third Proportional to 5,971.06 and 12,653.56

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Solution

The third proportional to 5,971.06 and 12,653.56 is: 26,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.06 : 12,653.56 = 12,653.56 : x
  2. Step 2: Convert to fraction form
    5,971.06/12,653.56 = 12,653.56/x
  3. Step 3: Cross multiply
    5,971.06x = 12,653.56 × 12,653.56
  4. Step 4: Simplify right side
    5,971.06x = 160,112,594.51
  5. Step 5: Solve for x
    x = 160,112,594.51/5,971.06
  6. Step 6: Final answer
    x = 26,814.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.