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Finding the Third Proportional to 4,515 and 6,733.69

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Solution

The third proportional to 4,515 and 6,733.69 is: 10,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,515 : 6,733.69 = 6,733.69 : x
  2. Step 2: Convert to fraction form
    4,515/6,733.69 = 6,733.69/x
  3. Step 3: Cross multiply
    4,515x = 6,733.69 × 6,733.69
  4. Step 4: Simplify right side
    4,515x = 45,342,547.35
  5. Step 5: Solve for x
    x = 45,342,547.35/4,515
  6. Step 6: Final answer
    x = 10,042.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.