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Finding the Third Proportional to 31,360 and 43,008

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Solution

The third proportional to 31,360 and 43,008 is: 58,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,360 : 43,008 = 43,008 : x
  2. Step 2: Convert to fraction form
    31,360/43,008 = 43,008/x
  3. Step 3: Cross multiply
    31,360x = 43,008 × 43,008
  4. Step 4: Simplify right side
    31,360x = 1,849,688,064
  5. Step 5: Solve for x
    x = 1,849,688,064/31,360
  6. Step 6: Final answer
    x = 58,982.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.