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Finding the Third Proportional to 23,620 and 38,058

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Solution

The third proportional to 23,620 and 38,058 is: 61,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620 : 38,058 = 38,058 : x
  2. Step 2: Convert to fraction form
    23,620/38,058 = 38,058/x
  3. Step 3: Cross multiply
    23,620x = 38,058 × 38,058
  4. Step 4: Simplify right side
    23,620x = 1,448,411,364
  5. Step 5: Solve for x
    x = 1,448,411,364/23,620
  6. Step 6: Final answer
    x = 61,321.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.