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Finding the Third Proportional to 40,955 and 64,257.50

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Solution

The third proportional to 40,955 and 64,257.50 is: 100,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,955 : 64,257.50 = 64,257.50 : x
  2. Step 2: Convert to fraction form
    40,955/64,257.50 = 64,257.50/x
  3. Step 3: Cross multiply
    40,955x = 64,257.50 × 64,257.50
  4. Step 4: Simplify right side
    40,955x = 4,129,026,306.25
  5. Step 5: Solve for x
    x = 4,129,026,306.25/40,955
  6. Step 6: Final answer
    x = 100,818.61

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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.