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Finding the Third Proportional to 4,106.74 and 4,448.46

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Solution

The third proportional to 4,106.74 and 4,448.46 is: 4,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.74 : 4,448.46 = 4,448.46 : x
  2. Step 2: Convert to fraction form
    4,106.74/4,448.46 = 4,448.46/x
  3. Step 3: Cross multiply
    4,106.74x = 4,448.46 × 4,448.46
  4. Step 4: Simplify right side
    4,106.74x = 19,788,804.71
  5. Step 5: Solve for x
    x = 19,788,804.71/4,106.74
  6. Step 6: Final answer
    x = 4,818.61

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.