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Finding the Third Proportional to 26,022 and 56,758.50

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Solution

The third proportional to 26,022 and 56,758.50 is: 123,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 56,758.50 = 56,758.50 : x
  2. Step 2: Convert to fraction form
    26,022/56,758.50 = 56,758.50/x
  3. Step 3: Cross multiply
    26,022x = 56,758.50 × 56,758.50
  4. Step 4: Simplify right side
    26,022x = 3,221,527,322.25
  5. Step 5: Solve for x
    x = 3,221,527,322.25/26,022
  6. Step 6: Final answer
    x = 123,800.14

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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.