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Finding the Third Proportional to 16,593.75 and 20,178

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Solution

The third proportional to 16,593.75 and 20,178 is: 24,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,593.75 : 20,178 = 20,178 : x
  2. Step 2: Convert to fraction form
    16,593.75/20,178 = 20,178/x
  3. Step 3: Cross multiply
    16,593.75x = 20,178 × 20,178
  4. Step 4: Simplify right side
    16,593.75x = 407,151,684
  5. Step 5: Solve for x
    x = 407,151,684/16,593.75
  6. Step 6: Final answer
    x = 24,536.45

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.