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Finding the Third Proportional to 34,058 and 56,283

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Solution

The third proportional to 34,058 and 56,283 is: 93,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058 : 56,283 = 56,283 : x
  2. Step 2: Convert to fraction form
    34,058/56,283 = 56,283/x
  3. Step 3: Cross multiply
    34,058x = 56,283 × 56,283
  4. Step 4: Simplify right side
    34,058x = 3,167,776,089
  5. Step 5: Solve for x
    x = 3,167,776,089/34,058
  6. Step 6: Final answer
    x = 93,011.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.