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Finding the Third Proportional to 26,158.57 and 56,776.57

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Solution

The third proportional to 26,158.57 and 56,776.57 is: 123,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158.57 : 56,776.57 = 56,776.57 : x
  2. Step 2: Convert to fraction form
    26,158.57/56,776.57 = 56,776.57/x
  3. Step 3: Cross multiply
    26,158.57x = 56,776.57 × 56,776.57
  4. Step 4: Simplify right side
    26,158.57x = 3,223,578,936.45
  5. Step 5: Solve for x
    x = 3,223,578,936.45/26,158.57
  6. Step 6: Final answer
    x = 123,232.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.