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Finding the Third Proportional to 24,527 and 51,916

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Solution

The third proportional to 24,527 and 51,916 is: 109,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527 : 51,916 = 51,916 : x
  2. Step 2: Convert to fraction form
    24,527/51,916 = 51,916/x
  3. Step 3: Cross multiply
    24,527x = 51,916 × 51,916
  4. Step 4: Simplify right side
    24,527x = 2,695,271,056
  5. Step 5: Solve for x
    x = 2,695,271,056/24,527
  6. Step 6: Final answer
    x = 109,889.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.