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Finding the Third Proportional to 27,536 and 40,124

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Solution

The third proportional to 27,536 and 40,124 is: 58,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536 : 40,124 = 40,124 : x
  2. Step 2: Convert to fraction form
    27,536/40,124 = 40,124/x
  3. Step 3: Cross multiply
    27,536x = 40,124 × 40,124
  4. Step 4: Simplify right side
    27,536x = 1,609,935,376
  5. Step 5: Solve for x
    x = 1,609,935,376/27,536
  6. Step 6: Final answer
    x = 58,466.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.