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Finding the Third Proportional to 9,572.40 and 14,839.14

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Solution

The third proportional to 9,572.40 and 14,839.14 is: 23,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.40 : 14,839.14 = 14,839.14 : x
  2. Step 2: Convert to fraction form
    9,572.40/14,839.14 = 14,839.14/x
  3. Step 3: Cross multiply
    9,572.40x = 14,839.14 × 14,839.14
  4. Step 4: Simplify right side
    9,572.40x = 220,199,978.56
  5. Step 5: Solve for x
    x = 220,199,978.56/9,572.40
  6. Step 6: Final answer
    x = 23,003.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.