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Finding the Third Proportional to 18,017.44 and 28,782.84

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Solution

The third proportional to 18,017.44 and 28,782.84 is: 45,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,017.44 : 28,782.84 = 28,782.84 : x
  2. Step 2: Convert to fraction form
    18,017.44/28,782.84 = 28,782.84/x
  3. Step 3: Cross multiply
    18,017.44x = 28,782.84 × 28,782.84
  4. Step 4: Simplify right side
    18,017.44x = 828,452,094.34
  5. Step 5: Solve for x
    x = 828,452,094.34/18,017.44
  6. Step 6: Final answer
    x = 45,980.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.