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Finding the Third Proportional to 31,480 and 44,010

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Solution

The third proportional to 31,480 and 44,010 is: 61,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480 : 44,010 = 44,010 : x
  2. Step 2: Convert to fraction form
    31,480/44,010 = 44,010/x
  3. Step 3: Cross multiply
    31,480x = 44,010 × 44,010
  4. Step 4: Simplify right side
    31,480x = 1,936,880,100
  5. Step 5: Solve for x
    x = 1,936,880,100/31,480
  6. Step 6: Final answer
    x = 61,527.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.