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Finding the Third Proportional to 9,100.50 and 14,471.25

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Solution

The third proportional to 9,100.50 and 14,471.25 is: 23,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.50 : 14,471.25 = 14,471.25 : x
  2. Step 2: Convert to fraction form
    9,100.50/14,471.25 = 14,471.25/x
  3. Step 3: Cross multiply
    9,100.50x = 14,471.25 × 14,471.25
  4. Step 4: Simplify right side
    9,100.50x = 209,417,076.56
  5. Step 5: Solve for x
    x = 209,417,076.56/9,100.50
  6. Step 6: Final answer
    x = 23,011.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.