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Finding the Third Proportional to 23,058 and 32,382

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Solution

The third proportional to 23,058 and 32,382 is: 45,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058 : 32,382 = 32,382 : x
  2. Step 2: Convert to fraction form
    23,058/32,382 = 32,382/x
  3. Step 3: Cross multiply
    23,058x = 32,382 × 32,382
  4. Step 4: Simplify right side
    23,058x = 1,048,593,924
  5. Step 5: Solve for x
    x = 1,048,593,924/23,058
  6. Step 6: Final answer
    x = 45,476.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.