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Finding the Third Proportional to 5,701.50 and 13,518

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Solution

The third proportional to 5,701.50 and 13,518 is: 32,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.50 : 13,518 = 13,518 : x
  2. Step 2: Convert to fraction form
    5,701.50/13,518 = 13,518/x
  3. Step 3: Cross multiply
    5,701.50x = 13,518 × 13,518
  4. Step 4: Simplify right side
    5,701.50x = 182,736,324
  5. Step 5: Solve for x
    x = 182,736,324/5,701.50
  6. Step 6: Final answer
    x = 32,050.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.