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Finding the Third Proportional to 24,707.75 and 52,900.75

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Solution

The third proportional to 24,707.75 and 52,900.75 is: 113,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.75 : 52,900.75 = 52,900.75 : x
  2. Step 2: Convert to fraction form
    24,707.75/52,900.75 = 52,900.75/x
  3. Step 3: Cross multiply
    24,707.75x = 52,900.75 × 52,900.75
  4. Step 4: Simplify right side
    24,707.75x = 2,798,489,350.56
  5. Step 5: Solve for x
    x = 2,798,489,350.56/24,707.75
  6. Step 6: Final answer
    x = 113,263.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.