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Finding the Third Proportional to 23,527.13 and 50,743.13

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Solution

The third proportional to 23,527.13 and 50,743.13 is: 109,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.13 : 50,743.13 = 50,743.13 : x
  2. Step 2: Convert to fraction form
    23,527.13/50,743.13 = 50,743.13/x
  3. Step 3: Cross multiply
    23,527.13x = 50,743.13 × 50,743.13
  4. Step 4: Simplify right side
    23,527.13x = 2,574,864,734.77
  5. Step 5: Solve for x
    x = 2,574,864,734.77/23,527.13
  6. Step 6: Final answer
    x = 109,442.39

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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.