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Finding the Third Proportional to 5,414.34 and 14,056.03

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Solution

The third proportional to 5,414.34 and 14,056.03 is: 36,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.34 : 14,056.03 = 14,056.03 : x
  2. Step 2: Convert to fraction form
    5,414.34/14,056.03 = 14,056.03/x
  3. Step 3: Cross multiply
    5,414.34x = 14,056.03 × 14,056.03
  4. Step 4: Simplify right side
    5,414.34x = 197,572,014.50
  5. Step 5: Solve for x
    x = 197,572,014.50/5,414.34
  6. Step 6: Final answer
    x = 36,490.48

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.