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Finding the Third Proportional to 2,811.35 and 6,508.32

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Solution

The third proportional to 2,811.35 and 6,508.32 is: 15,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.35 : 6,508.32 = 6,508.32 : x
  2. Step 2: Convert to fraction form
    2,811.35/6,508.32 = 6,508.32/x
  3. Step 3: Cross multiply
    2,811.35x = 6,508.32 × 6,508.32
  4. Step 4: Simplify right side
    2,811.35x = 42,358,207.87
  5. Step 5: Solve for x
    x = 42,358,207.87/2,811.35
  6. Step 6: Final answer
    x = 15,066.86

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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.