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Finding the Third Proportional to 1,416.23 and 3,036.55

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Solution

The third proportional to 1,416.23 and 3,036.55 is: 6,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.23 : 3,036.55 = 3,036.55 : x
  2. Step 2: Convert to fraction form
    1,416.23/3,036.55 = 3,036.55/x
  3. Step 3: Cross multiply
    1,416.23x = 3,036.55 × 3,036.55
  4. Step 4: Simplify right side
    1,416.23x = 9,220,640.65
  5. Step 5: Solve for x
    x = 9,220,640.65/1,416.23
  6. Step 6: Final answer
    x = 6,510.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.