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Finding the Third Proportional to 23,837.63 and 51,423.75

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Solution

The third proportional to 23,837.63 and 51,423.75 is: 110,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.63 : 51,423.75 = 51,423.75 : x
  2. Step 2: Convert to fraction form
    23,837.63/51,423.75 = 51,423.75/x
  3. Step 3: Cross multiply
    23,837.63x = 51,423.75 × 51,423.75
  4. Step 4: Simplify right side
    23,837.63x = 2,644,402,064.06
  5. Step 5: Solve for x
    x = 2,644,402,064.06/23,837.63
  6. Step 6: Final answer
    x = 110,933.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.