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Finding the Third Proportional to 20,866.75 and 49,209.13

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Solution

The third proportional to 20,866.75 and 49,209.13 is: 116,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.75 : 49,209.13 = 49,209.13 : x
  2. Step 2: Convert to fraction form
    20,866.75/49,209.13 = 49,209.13/x
  3. Step 3: Cross multiply
    20,866.75x = 49,209.13 × 49,209.13
  4. Step 4: Simplify right side
    20,866.75x = 2,421,537,983.27
  5. Step 5: Solve for x
    x = 2,421,537,983.27/20,866.75
  6. Step 6: Final answer
    x = 116,047.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.