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Finding the Third Proportional to 12,085 and 18,674.50

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Solution

The third proportional to 12,085 and 18,674.50 is: 28,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085 : 18,674.50 = 18,674.50 : x
  2. Step 2: Convert to fraction form
    12,085/18,674.50 = 18,674.50/x
  3. Step 3: Cross multiply
    12,085x = 18,674.50 × 18,674.50
  4. Step 4: Simplify right side
    12,085x = 348,736,950.25
  5. Step 5: Solve for x
    x = 348,736,950.25/12,085
  6. Step 6: Final answer
    x = 28,857.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.