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Finding the Third Proportional to 23,144.63 and 35,041.50

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Solution

The third proportional to 23,144.63 and 35,041.50 is: 53,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.63 : 35,041.50 = 35,041.50 : x
  2. Step 2: Convert to fraction form
    23,144.63/35,041.50 = 35,041.50/x
  3. Step 3: Cross multiply
    23,144.63x = 35,041.50 × 35,041.50
  4. Step 4: Simplify right side
    23,144.63x = 1,227,906,722.25
  5. Step 5: Solve for x
    x = 1,227,906,722.25/23,144.63
  6. Step 6: Final answer
    x = 53,053.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.