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Finding the Third Proportional to 20,462.63 and 42,656.63

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Solution

The third proportional to 20,462.63 and 42,656.63 is: 88,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.63 : 42,656.63 = 42,656.63 : x
  2. Step 2: Convert to fraction form
    20,462.63/42,656.63 = 42,656.63/x
  3. Step 3: Cross multiply
    20,462.63x = 42,656.63 × 42,656.63
  4. Step 4: Simplify right side
    20,462.63x = 1,819,587,656.39
  5. Step 5: Solve for x
    x = 1,819,587,656.39/20,462.63
  6. Step 6: Final answer
    x = 88,922.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.