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Finding the Third Proportional to 29,227.57 and 42,800.34

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Solution

The third proportional to 29,227.57 and 42,800.34 is: 62,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227.57 : 42,800.34 = 42,800.34 : x
  2. Step 2: Convert to fraction form
    29,227.57/42,800.34 = 42,800.34/x
  3. Step 3: Cross multiply
    29,227.57x = 42,800.34 × 42,800.34
  4. Step 4: Simplify right side
    29,227.57x = 1,831,869,425.12
  5. Step 5: Solve for x
    x = 1,831,869,425.12/29,227.57
  6. Step 6: Final answer
    x = 62,676.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.