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Finding the Third Proportional to 35,638 and 56,426.50

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Solution

The third proportional to 35,638 and 56,426.50 is: 89,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638 : 56,426.50 = 56,426.50 : x
  2. Step 2: Convert to fraction form
    35,638/56,426.50 = 56,426.50/x
  3. Step 3: Cross multiply
    35,638x = 56,426.50 × 56,426.50
  4. Step 4: Simplify right side
    35,638x = 3,183,949,902.25
  5. Step 5: Solve for x
    x = 3,183,949,902.25/35,638
  6. Step 6: Final answer
    x = 89,341.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.