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Finding the Third Proportional to 3,023.58 and 4,725.21

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Solution

The third proportional to 3,023.58 and 4,725.21 is: 7,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.58 : 4,725.21 = 4,725.21 : x
  2. Step 2: Convert to fraction form
    3,023.58/4,725.21 = 4,725.21/x
  3. Step 3: Cross multiply
    3,023.58x = 4,725.21 × 4,725.21
  4. Step 4: Simplify right side
    3,023.58x = 22,327,618.40
  5. Step 5: Solve for x
    x = 22,327,618.40/3,023.58
  6. Step 6: Final answer
    x = 7,384.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.