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Finding the Third Proportional to 8,528.63 and 13,157.44

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Solution

The third proportional to 8,528.63 and 13,157.44 is: 20,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.63 : 13,157.44 = 13,157.44 : x
  2. Step 2: Convert to fraction form
    8,528.63/13,157.44 = 13,157.44/x
  3. Step 3: Cross multiply
    8,528.63x = 13,157.44 × 13,157.44
  4. Step 4: Simplify right side
    8,528.63x = 173,118,161.57
  5. Step 5: Solve for x
    x = 173,118,161.57/8,528.63
  6. Step 6: Final answer
    x = 20,298.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.