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Finding the Third Proportional to 31,370 and 47,050

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Solution

The third proportional to 31,370 and 47,050 is: 70,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370 : 47,050 = 47,050 : x
  2. Step 2: Convert to fraction form
    31,370/47,050 = 47,050/x
  3. Step 3: Cross multiply
    31,370x = 47,050 × 47,050
  4. Step 4: Simplify right side
    31,370x = 2,213,702,500
  5. Step 5: Solve for x
    x = 2,213,702,500/31,370
  6. Step 6: Final answer
    x = 70,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.