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Finding the Third Proportional to 7,412.55 and 15,884.44

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Solution

The third proportional to 7,412.55 and 15,884.44 is: 34,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.55 : 15,884.44 = 15,884.44 : x
  2. Step 2: Convert to fraction form
    7,412.55/15,884.44 = 15,884.44/x
  3. Step 3: Cross multiply
    7,412.55x = 15,884.44 × 15,884.44
  4. Step 4: Simplify right side
    7,412.55x = 252,315,354.69
  5. Step 5: Solve for x
    x = 252,315,354.69/7,412.55
  6. Step 6: Final answer
    x = 34,038.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.