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Finding the Third Proportional to 5,748.75 and 6,143.63

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Solution

The third proportional to 5,748.75 and 6,143.63 is: 6,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.75 : 6,143.63 = 6,143.63 : x
  2. Step 2: Convert to fraction form
    5,748.75/6,143.63 = 6,143.63/x
  3. Step 3: Cross multiply
    5,748.75x = 6,143.63 × 6,143.63
  4. Step 4: Simplify right side
    5,748.75x = 37,744,128.14
  5. Step 5: Solve for x
    x = 37,744,128.14/5,748.75
  6. Step 6: Final answer
    x = 6,565.62

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.