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Finding the Third Proportional to 9,174 and 20,106.75

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Solution

The third proportional to 9,174 and 20,106.75 is: 44,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174 : 20,106.75 = 20,106.75 : x
  2. Step 2: Convert to fraction form
    9,174/20,106.75 = 20,106.75/x
  3. Step 3: Cross multiply
    9,174x = 20,106.75 × 20,106.75
  4. Step 4: Simplify right side
    9,174x = 404,281,395.56
  5. Step 5: Solve for x
    x = 404,281,395.56/9,174
  6. Step 6: Final answer
    x = 44,068.17

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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.