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Finding the Third Proportional to 16,746.75 and 22,225.50

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Solution

The third proportional to 16,746.75 and 22,225.50 is: 29,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.75 : 22,225.50 = 22,225.50 : x
  2. Step 2: Convert to fraction form
    16,746.75/22,225.50 = 22,225.50/x
  3. Step 3: Cross multiply
    16,746.75x = 22,225.50 × 22,225.50
  4. Step 4: Simplify right side
    16,746.75x = 493,972,850.25
  5. Step 5: Solve for x
    x = 493,972,850.25/16,746.75
  6. Step 6: Final answer
    x = 29,496.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.