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Finding the Third Proportional to 8,158.50 and 11,926.50

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Solution

The third proportional to 8,158.50 and 11,926.50 is: 17,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.50 : 11,926.50 = 11,926.50 : x
  2. Step 2: Convert to fraction form
    8,158.50/11,926.50 = 11,926.50/x
  3. Step 3: Cross multiply
    8,158.50x = 11,926.50 × 11,926.50
  4. Step 4: Simplify right side
    8,158.50x = 142,241,402.25
  5. Step 5: Solve for x
    x = 142,241,402.25/8,158.50
  6. Step 6: Final answer
    x = 17,434.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.