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Finding the Third Proportional to 31,697 and 47,053

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Solution

The third proportional to 31,697 and 47,053 is: 69,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697 : 47,053 = 47,053 : x
  2. Step 2: Convert to fraction form
    31,697/47,053 = 47,053/x
  3. Step 3: Cross multiply
    31,697x = 47,053 × 47,053
  4. Step 4: Simplify right side
    31,697x = 2,213,984,809
  5. Step 5: Solve for x
    x = 2,213,984,809/31,697
  6. Step 6: Final answer
    x = 69,848.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.