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Finding the Third Proportional to 2,905.68 and 4,358.52

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Solution

The third proportional to 2,905.68 and 4,358.52 is: 6,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.68 : 4,358.52 = 4,358.52 : x
  2. Step 2: Convert to fraction form
    2,905.68/4,358.52 = 4,358.52/x
  3. Step 3: Cross multiply
    2,905.68x = 4,358.52 × 4,358.52
  4. Step 4: Simplify right side
    2,905.68x = 18,996,660.58
  5. Step 5: Solve for x
    x = 18,996,660.58/2,905.68
  6. Step 6: Final answer
    x = 6,537.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.