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Finding the Third Proportional to 23,594 and 32,058

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Solution

The third proportional to 23,594 and 32,058 is: 43,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594 : 32,058 = 32,058 : x
  2. Step 2: Convert to fraction form
    23,594/32,058 = 32,058/x
  3. Step 3: Cross multiply
    23,594x = 32,058 × 32,058
  4. Step 4: Simplify right side
    23,594x = 1,027,715,364
  5. Step 5: Solve for x
    x = 1,027,715,364/23,594
  6. Step 6: Final answer
    x = 43,558.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.