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Finding the Third Proportional to 2,529.75 and 6,117.38

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Solution

The third proportional to 2,529.75 and 6,117.38 is: 14,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.75 : 6,117.38 = 6,117.38 : x
  2. Step 2: Convert to fraction form
    2,529.75/6,117.38 = 6,117.38/x
  3. Step 3: Cross multiply
    2,529.75x = 6,117.38 × 6,117.38
  4. Step 4: Simplify right side
    2,529.75x = 37,422,276.89
  5. Step 5: Solve for x
    x = 37,422,276.89/2,529.75
  6. Step 6: Final answer
    x = 14,792.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.