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Finding the Third Proportional to 39,033.83 and 83,987.93

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Solution

The third proportional to 39,033.83 and 83,987.93 is: 180,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,033.83 : 83,987.93 = 83,987.93 : x
  2. Step 2: Convert to fraction form
    39,033.83/83,987.93 = 83,987.93/x
  3. Step 3: Cross multiply
    39,033.83x = 83,987.93 × 83,987.93
  4. Step 4: Simplify right side
    39,033.83x = 7,053,972,333.19
  5. Step 5: Solve for x
    x = 7,053,972,333.19/39,033.83
  6. Step 6: Final answer
    x = 180,714.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.