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Finding the Third Proportional to 31,613 and 44,476

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Solution

The third proportional to 31,613 and 44,476 is: 62,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613 : 44,476 = 44,476 : x
  2. Step 2: Convert to fraction form
    31,613/44,476 = 44,476/x
  3. Step 3: Cross multiply
    31,613x = 44,476 × 44,476
  4. Step 4: Simplify right side
    31,613x = 1,978,114,576
  5. Step 5: Solve for x
    x = 1,978,114,576/31,613
  6. Step 6: Final answer
    x = 62,572.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.