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Finding the Third Proportional to 5,812.88 and 12,603.75

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Solution

The third proportional to 5,812.88 and 12,603.75 is: 27,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.88 : 12,603.75 = 12,603.75 : x
  2. Step 2: Convert to fraction form
    5,812.88/12,603.75 = 12,603.75/x
  3. Step 3: Cross multiply
    5,812.88x = 12,603.75 × 12,603.75
  4. Step 4: Simplify right side
    5,812.88x = 158,854,514.06
  5. Step 5: Solve for x
    x = 158,854,514.06/5,812.88
  6. Step 6: Final answer
    x = 27,328.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.