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Finding the Third Proportional to 2,524.50 and 6,071.63

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Solution

The third proportional to 2,524.50 and 6,071.63 is: 14,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.50 : 6,071.63 = 6,071.63 : x
  2. Step 2: Convert to fraction form
    2,524.50/6,071.63 = 6,071.63/x
  3. Step 3: Cross multiply
    2,524.50x = 6,071.63 × 6,071.63
  4. Step 4: Simplify right side
    2,524.50x = 36,864,630.14
  5. Step 5: Solve for x
    x = 36,864,630.14/2,524.50
  6. Step 6: Final answer
    x = 14,602.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.