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Finding the Third Proportional to 22,626.75 and 35,000.25

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Solution

The third proportional to 22,626.75 and 35,000.25 is: 54,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.75 : 35,000.25 = 35,000.25 : x
  2. Step 2: Convert to fraction form
    22,626.75/35,000.25 = 35,000.25/x
  3. Step 3: Cross multiply
    22,626.75x = 35,000.25 × 35,000.25
  4. Step 4: Simplify right side
    22,626.75x = 1,225,017,500.06
  5. Step 5: Solve for x
    x = 1,225,017,500.06/22,626.75
  6. Step 6: Final answer
    x = 54,140.23

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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.