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Finding the Third Proportional to 27,207 and 38,511

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Solution

The third proportional to 27,207 and 38,511 is: 54,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207 : 38,511 = 38,511 : x
  2. Step 2: Convert to fraction form
    27,207/38,511 = 38,511/x
  3. Step 3: Cross multiply
    27,207x = 38,511 × 38,511
  4. Step 4: Simplify right side
    27,207x = 1,483,097,121
  5. Step 5: Solve for x
    x = 1,483,097,121/27,207
  6. Step 6: Final answer
    x = 54,511.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.