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Finding the Third Proportional to 26,041.50 and 56,133

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Solution

The third proportional to 26,041.50 and 56,133 is: 120,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041.50 : 56,133 = 56,133 : x
  2. Step 2: Convert to fraction form
    26,041.50/56,133 = 56,133/x
  3. Step 3: Cross multiply
    26,041.50x = 56,133 × 56,133
  4. Step 4: Simplify right side
    26,041.50x = 3,150,913,689
  5. Step 5: Solve for x
    x = 3,150,913,689/26,041.50
  6. Step 6: Final answer
    x = 120,995.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.