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Finding the Third Proportional to 14,640 and 32,196

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Solution

The third proportional to 14,640 and 32,196 is: 70,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 32,196 = 32,196 : x
  2. Step 2: Convert to fraction form
    14,640/32,196 = 32,196/x
  3. Step 3: Cross multiply
    14,640x = 32,196 × 32,196
  4. Step 4: Simplify right side
    14,640x = 1,036,582,416
  5. Step 5: Solve for x
    x = 1,036,582,416/14,640
  6. Step 6: Final answer
    x = 70,804.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.