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Finding the Third Proportional to 7,583.63 and 16,493.63

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Solution

The third proportional to 7,583.63 and 16,493.63 is: 35,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.63 : 16,493.63 = 16,493.63 : x
  2. Step 2: Convert to fraction form
    7,583.63/16,493.63 = 16,493.63/x
  3. Step 3: Cross multiply
    7,583.63x = 16,493.63 × 16,493.63
  4. Step 4: Simplify right side
    7,583.63x = 272,039,665.64
  5. Step 5: Solve for x
    x = 272,039,665.64/7,583.63
  6. Step 6: Final answer
    x = 35,871.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.