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Finding the Third Proportional to 39,675.38 and 84,810.38

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Solution

The third proportional to 39,675.38 and 84,810.38 is: 181,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675.38 : 84,810.38 = 84,810.38 : x
  2. Step 2: Convert to fraction form
    39,675.38/84,810.38 = 84,810.38/x
  3. Step 3: Cross multiply
    39,675.38x = 84,810.38 × 84,810.38
  4. Step 4: Simplify right side
    39,675.38x = 7,192,799,707.64
  5. Step 5: Solve for x
    x = 7,192,799,707.64/39,675.38
  6. Step 6: Final answer
    x = 181,291.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.