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Finding the Third Proportional to 39,395.53 and 84,326.91

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Solution

The third proportional to 39,395.53 and 84,326.91 is: 180,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,395.53 : 84,326.91 = 84,326.91 : x
  2. Step 2: Convert to fraction form
    39,395.53/84,326.91 = 84,326.91/x
  3. Step 3: Cross multiply
    39,395.53x = 84,326.91 × 84,326.91
  4. Step 4: Simplify right side
    39,395.53x = 7,111,027,117.70
  5. Step 5: Solve for x
    x = 7,111,027,117.70/39,395.53
  6. Step 6: Final answer
    x = 180,503.39

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