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Finding the Third Proportional to 2,237.06 and 4,830.19

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Solution

The third proportional to 2,237.06 and 4,830.19 is: 10,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.06 : 4,830.19 = 4,830.19 : x
  2. Step 2: Convert to fraction form
    2,237.06/4,830.19 = 4,830.19/x
  3. Step 3: Cross multiply
    2,237.06x = 4,830.19 × 4,830.19
  4. Step 4: Simplify right side
    2,237.06x = 23,330,711.29
  5. Step 5: Solve for x
    x = 23,330,711.29/2,237.06
  6. Step 6: Final answer
    x = 10,429.17

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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.