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Finding the Third Proportional to 23,909.63 and 52,536.38

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Solution

The third proportional to 23,909.63 and 52,536.38 is: 115,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.63 : 52,536.38 = 52,536.38 : x
  2. Step 2: Convert to fraction form
    23,909.63/52,536.38 = 52,536.38/x
  3. Step 3: Cross multiply
    23,909.63x = 52,536.38 × 52,536.38
  4. Step 4: Simplify right side
    23,909.63x = 2,760,070,698.14
  5. Step 5: Solve for x
    x = 2,760,070,698.14/23,909.63
  6. Step 6: Final answer
    x = 115,437.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.