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Finding the Third Proportional to 23,933.64 and 36,536.77

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Solution

The third proportional to 23,933.64 and 36,536.77 is: 55,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,933.64 : 36,536.77 = 36,536.77 : x
  2. Step 2: Convert to fraction form
    23,933.64/36,536.77 = 36,536.77/x
  3. Step 3: Cross multiply
    23,933.64x = 36,536.77 × 36,536.77
  4. Step 4: Simplify right side
    23,933.64x = 1,334,935,670.08
  5. Step 5: Solve for x
    x = 1,334,935,670.08/23,933.64
  6. Step 6: Final answer
    x = 55,776.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.