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Finding the Third Proportional to 28,935 and 43,470

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Solution

The third proportional to 28,935 and 43,470 is: 65,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,935 : 43,470 = 43,470 : x
  2. Step 2: Convert to fraction form
    28,935/43,470 = 43,470/x
  3. Step 3: Cross multiply
    28,935x = 43,470 × 43,470
  4. Step 4: Simplify right side
    28,935x = 1,889,640,900
  5. Step 5: Solve for x
    x = 1,889,640,900/28,935
  6. Step 6: Final answer
    x = 65,306.41

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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.