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Finding the Third Proportional to 13,585.64 and 28,976.86

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Solution

The third proportional to 13,585.64 and 28,976.86 is: 61,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.64 : 28,976.86 = 28,976.86 : x
  2. Step 2: Convert to fraction form
    13,585.64/28,976.86 = 28,976.86/x
  3. Step 3: Cross multiply
    13,585.64x = 28,976.86 × 28,976.86
  4. Step 4: Simplify right side
    13,585.64x = 839,658,379.24
  5. Step 5: Solve for x
    x = 839,658,379.24/13,585.64
  6. Step 6: Final answer
    x = 61,804.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.