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Finding the Third Proportional to 38,995 and 58,231

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Solution

The third proportional to 38,995 and 58,231 is: 86,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,995 : 58,231 = 58,231 : x
  2. Step 2: Convert to fraction form
    38,995/58,231 = 58,231/x
  3. Step 3: Cross multiply
    38,995x = 58,231 × 58,231
  4. Step 4: Simplify right side
    38,995x = 3,390,849,361
  5. Step 5: Solve for x
    x = 3,390,849,361/38,995
  6. Step 6: Final answer
    x = 86,956.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.