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Finding the Third Proportional to 3,095.72 and 4,668.89

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Solution

The third proportional to 3,095.72 and 4,668.89 is: 7,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.72 : 4,668.89 = 4,668.89 : x
  2. Step 2: Convert to fraction form
    3,095.72/4,668.89 = 4,668.89/x
  3. Step 3: Cross multiply
    3,095.72x = 4,668.89 × 4,668.89
  4. Step 4: Simplify right side
    3,095.72x = 21,798,539.67
  5. Step 5: Solve for x
    x = 21,798,539.67/3,095.72
  6. Step 6: Final answer
    x = 7,041.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.