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Finding the Third Proportional to 2,788.88 and 6,125.06

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Solution

The third proportional to 2,788.88 and 6,125.06 is: 13,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.88 : 6,125.06 = 6,125.06 : x
  2. Step 2: Convert to fraction form
    2,788.88/6,125.06 = 6,125.06/x
  3. Step 3: Cross multiply
    2,788.88x = 6,125.06 × 6,125.06
  4. Step 4: Simplify right side
    2,788.88x = 37,516,390.63
  5. Step 5: Solve for x
    x = 37,516,390.63/2,788.88
  6. Step 6: Final answer
    x = 13,452.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.