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Finding the Third Proportional to 25,767.70 and 55,941.68

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Solution

The third proportional to 25,767.70 and 55,941.68 is: 121,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767.70 : 55,941.68 = 55,941.68 : x
  2. Step 2: Convert to fraction form
    25,767.70/55,941.68 = 55,941.68/x
  3. Step 3: Cross multiply
    25,767.70x = 55,941.68 × 55,941.68
  4. Step 4: Simplify right side
    25,767.70x = 3,129,471,526.26
  5. Step 5: Solve for x
    x = 3,129,471,526.26/25,767.70
  6. Step 6: Final answer
    x = 121,449.38

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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.