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Finding the Third Proportional to 5,148.56 and 6,668.16

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Solution

The third proportional to 5,148.56 and 6,668.16 is: 8,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.56 : 6,668.16 = 6,668.16 : x
  2. Step 2: Convert to fraction form
    5,148.56/6,668.16 = 6,668.16/x
  3. Step 3: Cross multiply
    5,148.56x = 6,668.16 × 6,668.16
  4. Step 4: Simplify right side
    5,148.56x = 44,464,307.77
  5. Step 5: Solve for x
    x = 44,464,307.77/5,148.56
  6. Step 6: Final answer
    x = 8,636.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.