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Finding the Third Proportional to 32,281.05 and 69,749.10

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Solution

The third proportional to 32,281.05 and 69,749.10 is: 150,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.05 : 69,749.10 = 69,749.10 : x
  2. Step 2: Convert to fraction form
    32,281.05/69,749.10 = 69,749.10/x
  3. Step 3: Cross multiply
    32,281.05x = 69,749.10 × 69,749.10
  4. Step 4: Simplify right side
    32,281.05x = 4,864,937,441.23
  5. Step 5: Solve for x
    x = 4,864,937,441.23/32,281.05
  6. Step 6: Final answer
    x = 150,705.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.