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Finding the Third Proportional to 40,551 and 82,069.50

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Solution

The third proportional to 40,551 and 82,069.50 is: 166,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,551 : 82,069.50 = 82,069.50 : x
  2. Step 2: Convert to fraction form
    40,551/82,069.50 = 82,069.50/x
  3. Step 3: Cross multiply
    40,551x = 82,069.50 × 82,069.50
  4. Step 4: Simplify right side
    40,551x = 6,735,402,830.25
  5. Step 5: Solve for x
    x = 6,735,402,830.25/40,551
  6. Step 6: Final answer
    x = 166,097.08

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.