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Finding the Third Proportional to 5,829 and 13,426.50

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Solution

The third proportional to 5,829 and 13,426.50 is: 30,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829 : 13,426.50 = 13,426.50 : x
  2. Step 2: Convert to fraction form
    5,829/13,426.50 = 13,426.50/x
  3. Step 3: Cross multiply
    5,829x = 13,426.50 × 13,426.50
  4. Step 4: Simplify right side
    5,829x = 180,270,902.25
  5. Step 5: Solve for x
    x = 180,270,902.25/5,829
  6. Step 6: Final answer
    x = 30,926.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.