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Finding the Third Proportional to 46,671.38 and 70,872.56

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Solution

The third proportional to 46,671.38 and 70,872.56 is: 107,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,671.38 : 70,872.56 = 70,872.56 : x
  2. Step 2: Convert to fraction form
    46,671.38/70,872.56 = 70,872.56/x
  3. Step 3: Cross multiply
    46,671.38x = 70,872.56 × 70,872.56
  4. Step 4: Simplify right side
    46,671.38x = 5,022,920,115.32
  5. Step 5: Solve for x
    x = 5,022,920,115.32/46,671.38
  6. Step 6: Final answer
    x = 107,623.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.