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Finding the Third Proportional to 32,271 and 69,905.50

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Solution

The third proportional to 32,271 and 69,905.50 is: 151,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271 : 69,905.50 = 69,905.50 : x
  2. Step 2: Convert to fraction form
    32,271/69,905.50 = 69,905.50/x
  3. Step 3: Cross multiply
    32,271x = 69,905.50 × 69,905.50
  4. Step 4: Simplify right side
    32,271x = 4,886,778,930.25
  5. Step 5: Solve for x
    x = 4,886,778,930.25/32,271
  6. Step 6: Final answer
    x = 151,429.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.