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Finding the Third Proportional to 42,946.88 and 65,694.38

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Solution

The third proportional to 42,946.88 and 65,694.38 is: 100,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,946.88 : 65,694.38 = 65,694.38 : x
  2. Step 2: Convert to fraction form
    42,946.88/65,694.38 = 65,694.38/x
  3. Step 3: Cross multiply
    42,946.88x = 65,694.38 × 65,694.38
  4. Step 4: Simplify right side
    42,946.88x = 4,315,750,906.64
  5. Step 5: Solve for x
    x = 4,315,750,906.64/42,946.88
  6. Step 6: Final answer
    x = 100,490.45

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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.