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Finding the Third Proportional to 42,897.09 and 65,621.39

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Solution

The third proportional to 42,897.09 and 65,621.39 is: 100,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,897.09 : 65,621.39 = 65,621.39 : x
  2. Step 2: Convert to fraction form
    42,897.09/65,621.39 = 65,621.39/x
  3. Step 3: Cross multiply
    42,897.09x = 65,621.39 × 65,621.39
  4. Step 4: Simplify right side
    42,897.09x = 4,306,166,907.56
  5. Step 5: Solve for x
    x = 4,306,166,907.56/42,897.09
  6. Step 6: Final answer
    x = 100,383.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.