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Finding the Third Proportional to 19,017 and 28,525.50

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Solution

The third proportional to 19,017 and 28,525.50 is: 42,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,017 : 28,525.50 = 28,525.50 : x
  2. Step 2: Convert to fraction form
    19,017/28,525.50 = 28,525.50/x
  3. Step 3: Cross multiply
    19,017x = 28,525.50 × 28,525.50
  4. Step 4: Simplify right side
    19,017x = 813,704,150.25
  5. Step 5: Solve for x
    x = 813,704,150.25/19,017
  6. Step 6: Final answer
    x = 42,788.25

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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.