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Finding the Third Proportional to 18,307.69 and 27,342.56

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Solution

The third proportional to 18,307.69 and 27,342.56 is: 40,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307.69 : 27,342.56 = 27,342.56 : x
  2. Step 2: Convert to fraction form
    18,307.69/27,342.56 = 27,342.56/x
  3. Step 3: Cross multiply
    18,307.69x = 27,342.56 × 27,342.56
  4. Step 4: Simplify right side
    18,307.69x = 747,615,724.07
  5. Step 5: Solve for x
    x = 747,615,724.07/18,307.69
  6. Step 6: Final answer
    x = 40,836.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.