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Finding the Third Proportional to 24,117.75 and 50,627.53

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Solution

The third proportional to 24,117.75 and 50,627.53 is: 106,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.75 : 50,627.53 = 50,627.53 : x
  2. Step 2: Convert to fraction form
    24,117.75/50,627.53 = 50,627.53/x
  3. Step 3: Cross multiply
    24,117.75x = 50,627.53 × 50,627.53
  4. Step 4: Simplify right side
    24,117.75x = 2,563,146,920.47
  5. Step 5: Solve for x
    x = 2,563,146,920.47/24,117.75
  6. Step 6: Final answer
    x = 106,276.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.