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Finding the Third Proportional to 9,153 and 14,208.75

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Solution

The third proportional to 9,153 and 14,208.75 is: 22,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 14,208.75 = 14,208.75 : x
  2. Step 2: Convert to fraction form
    9,153/14,208.75 = 14,208.75/x
  3. Step 3: Cross multiply
    9,153x = 14,208.75 × 14,208.75
  4. Step 4: Simplify right side
    9,153x = 201,888,576.56
  5. Step 5: Solve for x
    x = 201,888,576.56/9,153
  6. Step 6: Final answer
    x = 22,057.09

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1.5x scale

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.