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Finding the Third Proportional to 31,128 and 46,770

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Solution

The third proportional to 31,128 and 46,770 is: 70,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128 : 46,770 = 46,770 : x
  2. Step 2: Convert to fraction form
    31,128/46,770 = 46,770/x
  3. Step 3: Cross multiply
    31,128x = 46,770 × 46,770
  4. Step 4: Simplify right side
    31,128x = 2,187,432,900
  5. Step 5: Solve for x
    x = 2,187,432,900/31,128
  6. Step 6: Final answer
    x = 70,272.20

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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.