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Finding the Third Proportional to 4,638.09 and 11,210.70

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Solution

The third proportional to 4,638.09 and 11,210.70 is: 27,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.09 : 11,210.70 = 11,210.70 : x
  2. Step 2: Convert to fraction form
    4,638.09/11,210.70 = 11,210.70/x
  3. Step 3: Cross multiply
    4,638.09x = 11,210.70 × 11,210.70
  4. Step 4: Simplify right side
    4,638.09x = 125,679,689.39
  5. Step 5: Solve for x
    x = 125,679,689.39/4,638.09
  6. Step 6: Final answer
    x = 27,097.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.