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Finding the Third Proportional to 20,823.75 and 45,663.75

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Solution

The third proportional to 20,823.75 and 45,663.75 is: 100,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.75 : 45,663.75 = 45,663.75 : x
  2. Step 2: Convert to fraction form
    20,823.75/45,663.75 = 45,663.75/x
  3. Step 3: Cross multiply
    20,823.75x = 45,663.75 × 45,663.75
  4. Step 4: Simplify right side
    20,823.75x = 2,085,178,064.06
  5. Step 5: Solve for x
    x = 2,085,178,064.06/20,823.75
  6. Step 6: Final answer
    x = 100,134.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.