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Finding the Third Proportional to 31,968 and 47,088

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Solution

The third proportional to 31,968 and 47,088 is: 69,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 47,088 = 47,088 : x
  2. Step 2: Convert to fraction form
    31,968/47,088 = 47,088/x
  3. Step 3: Cross multiply
    31,968x = 47,088 × 47,088
  4. Step 4: Simplify right side
    31,968x = 2,217,279,744
  5. Step 5: Solve for x
    x = 2,217,279,744/31,968
  6. Step 6: Final answer
    x = 69,359.35

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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.