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Finding the Third Proportional to 34,058 and 53,157

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Solution

The third proportional to 34,058 and 53,157 is: 82,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058 : 53,157 = 53,157 : x
  2. Step 2: Convert to fraction form
    34,058/53,157 = 53,157/x
  3. Step 3: Cross multiply
    34,058x = 53,157 × 53,157
  4. Step 4: Simplify right side
    34,058x = 2,825,666,649
  5. Step 5: Solve for x
    x = 2,825,666,649/34,058
  6. Step 6: Final answer
    x = 82,966.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.