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Finding the Third Proportional to 6,508.50 and 14,196

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Solution

The third proportional to 6,508.50 and 14,196 is: 30,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.50 : 14,196 = 14,196 : x
  2. Step 2: Convert to fraction form
    6,508.50/14,196 = 14,196/x
  3. Step 3: Cross multiply
    6,508.50x = 14,196 × 14,196
  4. Step 4: Simplify right side
    6,508.50x = 201,526,416
  5. Step 5: Solve for x
    x = 201,526,416/6,508.50
  6. Step 6: Final answer
    x = 30,963.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.