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Finding the Third Proportional to 23,493.16 and 36,418.68

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Solution

The third proportional to 23,493.16 and 36,418.68 is: 56,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.16 : 36,418.68 = 36,418.68 : x
  2. Step 2: Convert to fraction form
    23,493.16/36,418.68 = 36,418.68/x
  3. Step 3: Cross multiply
    23,493.16x = 36,418.68 × 36,418.68
  4. Step 4: Simplify right side
    23,493.16x = 1,326,319,945.66
  5. Step 5: Solve for x
    x = 1,326,319,945.66/23,493.16
  6. Step 6: Final answer
    x = 56,455.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.