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Finding the Third Proportional to 1,830.09 and 4,001.06

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Solution

The third proportional to 1,830.09 and 4,001.06 is: 8,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.09 : 4,001.06 = 4,001.06 : x
  2. Step 2: Convert to fraction form
    1,830.09/4,001.06 = 4,001.06/x
  3. Step 3: Cross multiply
    1,830.09x = 4,001.06 × 4,001.06
  4. Step 4: Simplify right side
    1,830.09x = 16,008,501.13
  5. Step 5: Solve for x
    x = 16,008,501.13/1,830.09
  6. Step 6: Final answer
    x = 8,747.37

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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.