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Finding the Third Proportional to 17,509.50 and 22,254.75

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Solution

The third proportional to 17,509.50 and 22,254.75 is: 28,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.50 : 22,254.75 = 22,254.75 : x
  2. Step 2: Convert to fraction form
    17,509.50/22,254.75 = 22,254.75/x
  3. Step 3: Cross multiply
    17,509.50x = 22,254.75 × 22,254.75
  4. Step 4: Simplify right side
    17,509.50x = 495,273,897.56
  5. Step 5: Solve for x
    x = 495,273,897.56/17,509.50
  6. Step 6: Final answer
    x = 28,286.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.