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Finding the Third Proportional to 13,257.56 and 27,878.06

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Solution

The third proportional to 13,257.56 and 27,878.06 is: 58,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.56 : 27,878.06 = 27,878.06 : x
  2. Step 2: Convert to fraction form
    13,257.56/27,878.06 = 27,878.06/x
  3. Step 3: Cross multiply
    13,257.56x = 27,878.06 × 27,878.06
  4. Step 4: Simplify right side
    13,257.56x = 777,186,368.75
  5. Step 5: Solve for x
    x = 777,186,368.75/13,257.56
  6. Step 6: Final answer
    x = 58,622.12

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