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Finding the Third Proportional to 25,623.56 and 56,292.19

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Solution

The third proportional to 25,623.56 and 56,292.19 is: 123,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623.56 : 56,292.19 = 56,292.19 : x
  2. Step 2: Convert to fraction form
    25,623.56/56,292.19 = 56,292.19/x
  3. Step 3: Cross multiply
    25,623.56x = 56,292.19 × 56,292.19
  4. Step 4: Simplify right side
    25,623.56x = 3,168,810,373.54
  5. Step 5: Solve for x
    x = 3,168,810,373.54/25,623.56
  6. Step 6: Final answer
    x = 123,667.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.