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Finding the Third Proportional to 29,162.50 and 64,481

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Solution

The third proportional to 29,162.50 and 64,481 is: 142,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,162.50 : 64,481 = 64,481 : x
  2. Step 2: Convert to fraction form
    29,162.50/64,481 = 64,481/x
  3. Step 3: Cross multiply
    29,162.50x = 64,481 × 64,481
  4. Step 4: Simplify right side
    29,162.50x = 4,157,799,361
  5. Step 5: Solve for x
    x = 4,157,799,361/29,162.50
  6. Step 6: Final answer
    x = 142,573.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.