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Finding the Third Proportional to 15,627.94 and 23,284.97

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Solution

The third proportional to 15,627.94 and 23,284.97 is: 34,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,627.94 : 23,284.97 = 23,284.97 : x
  2. Step 2: Convert to fraction form
    15,627.94/23,284.97 = 23,284.97/x
  3. Step 3: Cross multiply
    15,627.94x = 23,284.97 × 23,284.97
  4. Step 4: Simplify right side
    15,627.94x = 542,189,769.69
  5. Step 5: Solve for x
    x = 542,189,769.69/15,627.94
  6. Step 6: Final answer
    x = 34,693.62

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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.