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Finding the Third Proportional to 40,333.50 and 59,071.50

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Solution

The third proportional to 40,333.50 and 59,071.50 is: 86,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,333.50 : 59,071.50 = 59,071.50 : x
  2. Step 2: Convert to fraction form
    40,333.50/59,071.50 = 59,071.50/x
  3. Step 3: Cross multiply
    40,333.50x = 59,071.50 × 59,071.50
  4. Step 4: Simplify right side
    40,333.50x = 3,489,442,112.25
  5. Step 5: Solve for x
    x = 3,489,442,112.25/40,333.50
  6. Step 6: Final answer
    x = 86,514.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.