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Finding the Third Proportional to 29,390.63 and 42,012

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Solution

The third proportional to 29,390.63 and 42,012 is: 60,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,390.63 : 42,012 = 42,012 : x
  2. Step 2: Convert to fraction form
    29,390.63/42,012 = 42,012/x
  3. Step 3: Cross multiply
    29,390.63x = 42,012 × 42,012
  4. Step 4: Simplify right side
    29,390.63x = 1,765,008,144
  5. Step 5: Solve for x
    x = 1,765,008,144/29,390.63
  6. Step 6: Final answer
    x = 60,053.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.