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Finding the Third Proportional to 10,220.34 and 14,995.97

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Solution

The third proportional to 10,220.34 and 14,995.97 is: 22,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.34 : 14,995.97 = 14,995.97 : x
  2. Step 2: Convert to fraction form
    10,220.34/14,995.97 = 14,995.97/x
  3. Step 3: Cross multiply
    10,220.34x = 14,995.97 × 14,995.97
  4. Step 4: Simplify right side
    10,220.34x = 224,879,078.75
  5. Step 5: Solve for x
    x = 224,879,078.75/10,220.34
  6. Step 6: Final answer
    x = 22,003.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.