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Finding the Third Proportional to 9,988.87 and 14,057.46

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Solution

The third proportional to 9,988.87 and 14,057.46 is: 19,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.87 : 14,057.46 = 14,057.46 : x
  2. Step 2: Convert to fraction form
    9,988.87/14,057.46 = 14,057.46/x
  3. Step 3: Cross multiply
    9,988.87x = 14,057.46 × 14,057.46
  4. Step 4: Simplify right side
    9,988.87x = 197,612,043.27
  5. Step 5: Solve for x
    x = 197,612,043.27/9,988.87
  6. Step 6: Final answer
    x = 19,783.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.