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Finding the Third Proportional to 24,512.63 and 56,748.09

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Solution

The third proportional to 24,512.63 and 56,748.09 is: 131,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.63 : 56,748.09 = 56,748.09 : x
  2. Step 2: Convert to fraction form
    24,512.63/56,748.09 = 56,748.09/x
  3. Step 3: Cross multiply
    24,512.63x = 56,748.09 × 56,748.09
  4. Step 4: Simplify right side
    24,512.63x = 3,220,346,144.26
  5. Step 5: Solve for x
    x = 3,220,346,144.26/24,512.63
  6. Step 6: Final answer
    x = 131,375.00

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.