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Finding the Third Proportional to 4,762 and 11,053

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Solution

The third proportional to 4,762 and 11,053 is: 25,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 11,053 = 11,053 : x
  2. Step 2: Convert to fraction form
    4,762/11,053 = 11,053/x
  3. Step 3: Cross multiply
    4,762x = 11,053 × 11,053
  4. Step 4: Simplify right side
    4,762x = 122,168,809
  5. Step 5: Solve for x
    x = 122,168,809/4,762
  6. Step 6: Final answer
    x = 25,654.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.