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Finding the Third Proportional to 20,827.76 and 46,730.04

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Solution

The third proportional to 20,827.76 and 46,730.04 is: 104,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.76 : 46,730.04 = 46,730.04 : x
  2. Step 2: Convert to fraction form
    20,827.76/46,730.04 = 46,730.04/x
  3. Step 3: Cross multiply
    20,827.76x = 46,730.04 × 46,730.04
  4. Step 4: Simplify right side
    20,827.76x = 2,183,696,550.78
  5. Step 5: Solve for x
    x = 2,183,696,550.78/20,827.76
  6. Step 6: Final answer
    x = 104,845.49

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.