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Finding the Third Proportional to 5,972.75 and 11,798.50

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Solution

The third proportional to 5,972.75 and 11,798.50 is: 23,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.75 : 11,798.50 = 11,798.50 : x
  2. Step 2: Convert to fraction form
    5,972.75/11,798.50 = 11,798.50/x
  3. Step 3: Cross multiply
    5,972.75x = 11,798.50 × 11,798.50
  4. Step 4: Simplify right side
    5,972.75x = 139,204,602.25
  5. Step 5: Solve for x
    x = 139,204,602.25/5,972.75
  6. Step 6: Final answer
    x = 23,306.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.