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Finding the Third Proportional to 5,829.02 and 12,489.73

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Solution

The third proportional to 5,829.02 and 12,489.73 is: 26,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.02 : 12,489.73 = 12,489.73 : x
  2. Step 2: Convert to fraction form
    5,829.02/12,489.73 = 12,489.73/x
  3. Step 3: Cross multiply
    5,829.02x = 12,489.73 × 12,489.73
  4. Step 4: Simplify right side
    5,829.02x = 155,993,388.53
  5. Step 5: Solve for x
    x = 155,993,388.53/5,829.02
  6. Step 6: Final answer
    x = 26,761.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.