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Finding the Third Proportional to 24,260 and 50,056

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Solution

The third proportional to 24,260 and 50,056 is: 103,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260 : 50,056 = 50,056 : x
  2. Step 2: Convert to fraction form
    24,260/50,056 = 50,056/x
  3. Step 3: Cross multiply
    24,260x = 50,056 × 50,056
  4. Step 4: Simplify right side
    24,260x = 2,505,603,136
  5. Step 5: Solve for x
    x = 2,505,603,136/24,260
  6. Step 6: Final answer
    x = 103,281.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.