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Finding the Third Proportional to 26,811 and 43,159.50

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Solution

The third proportional to 26,811 and 43,159.50 is: 69,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811 : 43,159.50 = 43,159.50 : x
  2. Step 2: Convert to fraction form
    26,811/43,159.50 = 43,159.50/x
  3. Step 3: Cross multiply
    26,811x = 43,159.50 × 43,159.50
  4. Step 4: Simplify right side
    26,811x = 1,862,742,440.25
  5. Step 5: Solve for x
    x = 1,862,742,440.25/26,811
  6. Step 6: Final answer
    x = 69,476.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.