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Finding the Third Proportional to 2,600.51 and 3,987.67

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Solution

The third proportional to 2,600.51 and 3,987.67 is: 6,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.51 : 3,987.67 = 3,987.67 : x
  2. Step 2: Convert to fraction form
    2,600.51/3,987.67 = 3,987.67/x
  3. Step 3: Cross multiply
    2,600.51x = 3,987.67 × 3,987.67
  4. Step 4: Simplify right side
    2,600.51x = 15,901,495.83
  5. Step 5: Solve for x
    x = 15,901,495.83/2,600.51
  6. Step 6: Final answer
    x = 6,114.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.