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Finding the Third Proportional to 14,148.84 and 15,550.31

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Solution

The third proportional to 14,148.84 and 15,550.31 is: 17,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.84 : 15,550.31 = 15,550.31 : x
  2. Step 2: Convert to fraction form
    14,148.84/15,550.31 = 15,550.31/x
  3. Step 3: Cross multiply
    14,148.84x = 15,550.31 × 15,550.31
  4. Step 4: Simplify right side
    14,148.84x = 241,812,218.85
  5. Step 5: Solve for x
    x = 241,812,218.85/14,148.84
  6. Step 6: Final answer
    x = 17,090.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.