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Finding the Third Proportional to 31,964 and 47,724

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Solution

The third proportional to 31,964 and 47,724 is: 71,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964 : 47,724 = 47,724 : x
  2. Step 2: Convert to fraction form
    31,964/47,724 = 47,724/x
  3. Step 3: Cross multiply
    31,964x = 47,724 × 47,724
  4. Step 4: Simplify right side
    31,964x = 2,277,580,176
  5. Step 5: Solve for x
    x = 2,277,580,176/31,964
  6. Step 6: Final answer
    x = 71,254.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.