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Finding the Third Proportional to 5,828.19 and 12,577.75

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Solution

The third proportional to 5,828.19 and 12,577.75 is: 27,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.19 : 12,577.75 = 12,577.75 : x
  2. Step 2: Convert to fraction form
    5,828.19/12,577.75 = 12,577.75/x
  3. Step 3: Cross multiply
    5,828.19x = 12,577.75 × 12,577.75
  4. Step 4: Simplify right side
    5,828.19x = 158,199,795.06
  5. Step 5: Solve for x
    x = 158,199,795.06/5,828.19
  6. Step 6: Final answer
    x = 27,143.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.