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Finding the Third Proportional to 5,968.69 and 9,139.08

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Solution

The third proportional to 5,968.69 and 9,139.08 is: 13,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.69 : 9,139.08 = 9,139.08 : x
  2. Step 2: Convert to fraction form
    5,968.69/9,139.08 = 9,139.08/x
  3. Step 3: Cross multiply
    5,968.69x = 9,139.08 × 9,139.08
  4. Step 4: Simplify right side
    5,968.69x = 83,522,748.97
  5. Step 5: Solve for x
    x = 83,522,748.97/5,968.69
  6. Step 6: Final answer
    x = 13,993.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.