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Finding the Third Proportional to 29,343 and 42,049.50

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Solution

The third proportional to 29,343 and 42,049.50 is: 60,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343 : 42,049.50 = 42,049.50 : x
  2. Step 2: Convert to fraction form
    29,343/42,049.50 = 42,049.50/x
  3. Step 3: Cross multiply
    29,343x = 42,049.50 × 42,049.50
  4. Step 4: Simplify right side
    29,343x = 1,768,160,450.25
  5. Step 5: Solve for x
    x = 1,768,160,450.25/29,343
  6. Step 6: Final answer
    x = 60,258.34

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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.