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Finding the Third Proportional to 4,505.63 and 12,114.56

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Solution

The third proportional to 4,505.63 and 12,114.56 is: 32,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.63 : 12,114.56 = 12,114.56 : x
  2. Step 2: Convert to fraction form
    4,505.63/12,114.56 = 12,114.56/x
  3. Step 3: Cross multiply
    4,505.63x = 12,114.56 × 12,114.56
  4. Step 4: Simplify right side
    4,505.63x = 146,762,624.57
  5. Step 5: Solve for x
    x = 146,762,624.57/4,505.63
  6. Step 6: Final answer
    x = 32,573.20

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.