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Finding the Third Proportional to 9,250.69 and 14,106.28

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Solution

The third proportional to 9,250.69 and 14,106.28 is: 21,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.69 : 14,106.28 = 14,106.28 : x
  2. Step 2: Convert to fraction form
    9,250.69/14,106.28 = 14,106.28/x
  3. Step 3: Cross multiply
    9,250.69x = 14,106.28 × 14,106.28
  4. Step 4: Simplify right side
    9,250.69x = 198,987,170.70
  5. Step 5: Solve for x
    x = 198,987,170.70/9,250.69
  6. Step 6: Final answer
    x = 21,510.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.