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Finding the Third Proportional to 8,470.83 and 13,175.16

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Solution

The third proportional to 8,470.83 and 13,175.16 is: 20,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.83 : 13,175.16 = 13,175.16 : x
  2. Step 2: Convert to fraction form
    8,470.83/13,175.16 = 13,175.16/x
  3. Step 3: Cross multiply
    8,470.83x = 13,175.16 × 13,175.16
  4. Step 4: Simplify right side
    8,470.83x = 173,584,742.21
  5. Step 5: Solve for x
    x = 173,584,742.21/8,470.83
  6. Step 6: Final answer
    x = 20,492.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.