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Finding the Third Proportional to 4,877 and 11,423

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Solution

The third proportional to 4,877 and 11,423 is: 26,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877 : 11,423 = 11,423 : x
  2. Step 2: Convert to fraction form
    4,877/11,423 = 11,423/x
  3. Step 3: Cross multiply
    4,877x = 11,423 × 11,423
  4. Step 4: Simplify right side
    4,877x = 130,484,929
  5. Step 5: Solve for x
    x = 130,484,929/4,877
  6. Step 6: Final answer
    x = 26,755.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.