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Finding the Third Proportional to 9,303.75 and 14,414.06

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Solution

The third proportional to 9,303.75 and 14,414.06 is: 22,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.75 : 14,414.06 = 14,414.06 : x
  2. Step 2: Convert to fraction form
    9,303.75/14,414.06 = 14,414.06/x
  3. Step 3: Cross multiply
    9,303.75x = 14,414.06 × 14,414.06
  4. Step 4: Simplify right side
    9,303.75x = 207,765,197.75
  5. Step 5: Solve for x
    x = 207,765,197.75/9,303.75
  6. Step 6: Final answer
    x = 22,331.34

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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.