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Finding the Third Proportional to 2,655.91 and 6,155.68

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Solution

The third proportional to 2,655.91 and 6,155.68 is: 14,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.91 : 6,155.68 = 6,155.68 : x
  2. Step 2: Convert to fraction form
    2,655.91/6,155.68 = 6,155.68/x
  3. Step 3: Cross multiply
    2,655.91x = 6,155.68 × 6,155.68
  4. Step 4: Simplify right side
    2,655.91x = 37,892,440.51
  5. Step 5: Solve for x
    x = 37,892,440.51/2,655.91
  6. Step 6: Final answer
    x = 14,267.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.