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Finding the Third Proportional to 40,551 and 64,573.50

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Solution

The third proportional to 40,551 and 64,573.50 is: 102,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,551 : 64,573.50 = 64,573.50 : x
  2. Step 2: Convert to fraction form
    40,551/64,573.50 = 64,573.50/x
  3. Step 3: Cross multiply
    40,551x = 64,573.50 × 64,573.50
  4. Step 4: Simplify right side
    40,551x = 4,169,736,902.25
  5. Step 5: Solve for x
    x = 4,169,736,902.25/40,551
  6. Step 6: Final answer
    x = 102,826.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.