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Finding the Third Proportional to 53,703 and 71,010

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Solution

The third proportional to 53,703 and 71,010 is: 93,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703 : 71,010 = 71,010 : x
  2. Step 2: Convert to fraction form
    53,703/71,010 = 71,010/x
  3. Step 3: Cross multiply
    53,703x = 71,010 × 71,010
  4. Step 4: Simplify right side
    53,703x = 5,042,420,100
  5. Step 5: Solve for x
    x = 5,042,420,100/53,703
  6. Step 6: Final answer
    x = 93,894.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.