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Finding the Third Proportional to 29,475 and 42,819.75

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Solution

The third proportional to 29,475 and 42,819.75 is: 62,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,475 : 42,819.75 = 42,819.75 : x
  2. Step 2: Convert to fraction form
    29,475/42,819.75 = 42,819.75/x
  3. Step 3: Cross multiply
    29,475x = 42,819.75 × 42,819.75
  4. Step 4: Simplify right side
    29,475x = 1,833,530,990.06
  5. Step 5: Solve for x
    x = 1,833,530,990.06/29,475
  6. Step 6: Final answer
    x = 62,206.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.