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Finding the Third Proportional to 34,796 and 53,841

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Solution

The third proportional to 34,796 and 53,841 is: 83,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,796 : 53,841 = 53,841 : x
  2. Step 2: Convert to fraction form
    34,796/53,841 = 53,841/x
  3. Step 3: Cross multiply
    34,796x = 53,841 × 53,841
  4. Step 4: Simplify right side
    34,796x = 2,898,853,281
  5. Step 5: Solve for x
    x = 2,898,853,281/34,796
  6. Step 6: Final answer
    x = 83,309.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.