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Finding the Third Proportional to 12,734 and 19,124.50

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Solution

The third proportional to 12,734 and 19,124.50 is: 28,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734 : 19,124.50 = 19,124.50 : x
  2. Step 2: Convert to fraction form
    12,734/19,124.50 = 19,124.50/x
  3. Step 3: Cross multiply
    12,734x = 19,124.50 × 19,124.50
  4. Step 4: Simplify right side
    12,734x = 365,746,500.25
  5. Step 5: Solve for x
    x = 365,746,500.25/12,734
  6. Step 6: Final answer
    x = 28,722.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.