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Finding the Third Proportional to 39,297.66 and 84,848.77

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Solution

The third proportional to 39,297.66 and 84,848.77 is: 183,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,297.66 : 84,848.77 = 84,848.77 : x
  2. Step 2: Convert to fraction form
    39,297.66/84,848.77 = 84,848.77/x
  3. Step 3: Cross multiply
    39,297.66x = 84,848.77 × 84,848.77
  4. Step 4: Simplify right side
    39,297.66x = 7,199,313,028.09
  5. Step 5: Solve for x
    x = 7,199,313,028.09/39,297.66
  6. Step 6: Final answer
    x = 183,199.55

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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.