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Finding the Third Proportional to 11,345.06 and 18,748.97

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Solution

The third proportional to 11,345.06 and 18,748.97 is: 30,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 18,748.97 = 18,748.97 : x
  2. Step 2: Convert to fraction form
    11,345.06/18,748.97 = 18,748.97/x
  3. Step 3: Cross multiply
    11,345.06x = 18,748.97 × 18,748.97
  4. Step 4: Simplify right side
    11,345.06x = 351,523,829.19
  5. Step 5: Solve for x
    x = 351,523,829.19/11,345.06
  6. Step 6: Final answer
    x = 30,984.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.