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Finding the Third Proportional to 23,945.63 and 52,089.75

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Solution

The third proportional to 23,945.63 and 52,089.75 is: 113,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945.63 : 52,089.75 = 52,089.75 : x
  2. Step 2: Convert to fraction form
    23,945.63/52,089.75 = 52,089.75/x
  3. Step 3: Cross multiply
    23,945.63x = 52,089.75 × 52,089.75
  4. Step 4: Simplify right side
    23,945.63x = 2,713,342,055.06
  5. Step 5: Solve for x
    x = 2,713,342,055.06/23,945.63
  6. Step 6: Final answer
    x = 113,312.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.