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Finding the Third Proportional to 25,820.86 and 54,741.66

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Solution

The third proportional to 25,820.86 and 54,741.66 is: 116,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.86 : 54,741.66 = 54,741.66 : x
  2. Step 2: Convert to fraction form
    25,820.86/54,741.66 = 54,741.66/x
  3. Step 3: Cross multiply
    25,820.86x = 54,741.66 × 54,741.66
  4. Step 4: Simplify right side
    25,820.86x = 2,996,648,928.99
  5. Step 5: Solve for x
    x = 2,996,648,928.99/25,820.86
  6. Step 6: Final answer
    x = 116,055.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.