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Finding the Third Proportional to 35,955 and 56,279.50

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Solution

The third proportional to 35,955 and 56,279.50 is: 88,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,955 : 56,279.50 = 56,279.50 : x
  2. Step 2: Convert to fraction form
    35,955/56,279.50 = 56,279.50/x
  3. Step 3: Cross multiply
    35,955x = 56,279.50 × 56,279.50
  4. Step 4: Simplify right side
    35,955x = 3,167,382,120.25
  5. Step 5: Solve for x
    x = 3,167,382,120.25/35,955
  6. Step 6: Final answer
    x = 88,092.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.