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Finding the Third Proportional to 7,366.50 and 12,039

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Solution

The third proportional to 7,366.50 and 12,039 is: 19,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.50 : 12,039 = 12,039 : x
  2. Step 2: Convert to fraction form
    7,366.50/12,039 = 12,039/x
  3. Step 3: Cross multiply
    7,366.50x = 12,039 × 12,039
  4. Step 4: Simplify right side
    7,366.50x = 144,937,521
  5. Step 5: Solve for x
    x = 144,937,521/7,366.50
  6. Step 6: Final answer
    x = 19,675.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.