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Finding the Third Proportional to 22,747 and 34,841

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Solution

The third proportional to 22,747 and 34,841 is: 53,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747 : 34,841 = 34,841 : x
  2. Step 2: Convert to fraction form
    22,747/34,841 = 34,841/x
  3. Step 3: Cross multiply
    22,747x = 34,841 × 34,841
  4. Step 4: Simplify right side
    22,747x = 1,213,895,281
  5. Step 5: Solve for x
    x = 1,213,895,281/22,747
  6. Step 6: Final answer
    x = 53,365.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.