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Finding the Third Proportional to 27,996.75 and 43,412.63

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Solution

The third proportional to 27,996.75 and 43,412.63 is: 67,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.75 : 43,412.63 = 43,412.63 : x
  2. Step 2: Convert to fraction form
    27,996.75/43,412.63 = 43,412.63/x
  3. Step 3: Cross multiply
    27,996.75x = 43,412.63 × 43,412.63
  4. Step 4: Simplify right side
    27,996.75x = 1,884,656,009.39
  5. Step 5: Solve for x
    x = 1,884,656,009.39/27,996.75
  6. Step 6: Final answer
    x = 67,316.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.