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Finding the Third Proportional to 23,527.13 and 50,748.19

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Solution

The third proportional to 23,527.13 and 50,748.19 is: 109,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.13 : 50,748.19 = 50,748.19 : x
  2. Step 2: Convert to fraction form
    23,527.13/50,748.19 = 50,748.19/x
  3. Step 3: Cross multiply
    23,527.13x = 50,748.19 × 50,748.19
  4. Step 4: Simplify right side
    23,527.13x = 2,575,378,534.54
  5. Step 5: Solve for x
    x = 2,575,378,534.54/23,527.13
  6. Step 6: Final answer
    x = 109,464.23

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Why These Related Problems?

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