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Finding the Third Proportional to 9,058 and 21,011

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Solution

The third proportional to 9,058 and 21,011 is: 48,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058 : 21,011 = 21,011 : x
  2. Step 2: Convert to fraction form
    9,058/21,011 = 21,011/x
  3. Step 3: Cross multiply
    9,058x = 21,011 × 21,011
  4. Step 4: Simplify right side
    9,058x = 441,462,121
  5. Step 5: Solve for x
    x = 441,462,121/9,058
  6. Step 6: Final answer
    x = 48,737.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.