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Finding the Third Proportional to 9,006.56 and 14,388.25

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Solution

The third proportional to 9,006.56 and 14,388.25 is: 22,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.56 : 14,388.25 = 14,388.25 : x
  2. Step 2: Convert to fraction form
    9,006.56/14,388.25 = 14,388.25/x
  3. Step 3: Cross multiply
    9,006.56x = 14,388.25 × 14,388.25
  4. Step 4: Simplify right side
    9,006.56x = 207,021,738.06
  5. Step 5: Solve for x
    x = 207,021,738.06/9,006.56
  6. Step 6: Final answer
    x = 22,985.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.