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Finding the Third Proportional to 40,702.50 and 59,945.06

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Solution

The third proportional to 40,702.50 and 59,945.06 is: 88,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.50 : 59,945.06 = 59,945.06 : x
  2. Step 2: Convert to fraction form
    40,702.50/59,945.06 = 59,945.06/x
  3. Step 3: Cross multiply
    40,702.50x = 59,945.06 × 59,945.06
  4. Step 4: Simplify right side
    40,702.50x = 3,593,410,518.13
  5. Step 5: Solve for x
    x = 3,593,410,518.13/40,702.50
  6. Step 6: Final answer
    x = 88,284.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.