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Finding the Third Proportional to 15,512 and 24,056

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Solution

The third proportional to 15,512 and 24,056 is: 37,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512 : 24,056 = 24,056 : x
  2. Step 2: Convert to fraction form
    15,512/24,056 = 24,056/x
  3. Step 3: Cross multiply
    15,512x = 24,056 × 24,056
  4. Step 4: Simplify right side
    15,512x = 578,691,136
  5. Step 5: Solve for x
    x = 578,691,136/15,512
  6. Step 6: Final answer
    x = 37,306.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.