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Finding the Third Proportional to 2,945.32 and 6,095.67

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Solution

The third proportional to 2,945.32 and 6,095.67 is: 12,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.32 : 6,095.67 = 6,095.67 : x
  2. Step 2: Convert to fraction form
    2,945.32/6,095.67 = 6,095.67/x
  3. Step 3: Cross multiply
    2,945.32x = 6,095.67 × 6,095.67
  4. Step 4: Simplify right side
    2,945.32x = 37,157,215.61
  5. Step 5: Solve for x
    x = 37,157,215.61/2,945.32
  6. Step 6: Final answer
    x = 12,615.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.