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Finding the Third Proportional to 38,494 and 56,409

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Solution

The third proportional to 38,494 and 56,409 is: 82,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494 : 56,409 = 56,409 : x
  2. Step 2: Convert to fraction form
    38,494/56,409 = 56,409/x
  3. Step 3: Cross multiply
    38,494x = 56,409 × 56,409
  4. Step 4: Simplify right side
    38,494x = 3,181,975,281
  5. Step 5: Solve for x
    x = 3,181,975,281/38,494
  6. Step 6: Final answer
    x = 82,661.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.