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Finding the Third Proportional to 26,684.44 and 58,289.63

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Solution

The third proportional to 26,684.44 and 58,289.63 is: 127,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684.44 : 58,289.63 = 58,289.63 : x
  2. Step 2: Convert to fraction form
    26,684.44/58,289.63 = 58,289.63/x
  3. Step 3: Cross multiply
    26,684.44x = 58,289.63 × 58,289.63
  4. Step 4: Simplify right side
    26,684.44x = 3,397,680,382.64
  5. Step 5: Solve for x
    x = 3,397,680,382.64/26,684.44
  6. Step 6: Final answer
    x = 127,328.16

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Why These Related Problems?

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