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Finding the Third Proportional to 42,638.06 and 66,205.27

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Solution

The third proportional to 42,638.06 and 66,205.27 is: 102,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,638.06 : 66,205.27 = 66,205.27 : x
  2. Step 2: Convert to fraction form
    42,638.06/66,205.27 = 66,205.27/x
  3. Step 3: Cross multiply
    42,638.06x = 66,205.27 × 66,205.27
  4. Step 4: Simplify right side
    42,638.06x = 4,383,137,196.48
  5. Step 5: Solve for x
    x = 4,383,137,196.48/42,638.06
  6. Step 6: Final answer
    x = 102,798.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.