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Finding the Third Proportional to 23,011.50 and 49,785

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Solution

The third proportional to 23,011.50 and 49,785 is: 107,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.50 : 49,785 = 49,785 : x
  2. Step 2: Convert to fraction form
    23,011.50/49,785 = 49,785/x
  3. Step 3: Cross multiply
    23,011.50x = 49,785 × 49,785
  4. Step 4: Simplify right side
    23,011.50x = 2,478,546,225
  5. Step 5: Solve for x
    x = 2,478,546,225/23,011.50
  6. Step 6: Final answer
    x = 107,709.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.