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Finding the Third Proportional to 34,263 and 53,703

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Solution

The third proportional to 34,263 and 53,703 is: 84,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,263 : 53,703 = 53,703 : x
  2. Step 2: Convert to fraction form
    34,263/53,703 = 53,703/x
  3. Step 3: Cross multiply
    34,263x = 53,703 × 53,703
  4. Step 4: Simplify right side
    34,263x = 2,884,012,209
  5. Step 5: Solve for x
    x = 2,884,012,209/34,263
  6. Step 6: Final answer
    x = 84,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.