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Finding the Third Proportional to 32,952 and 71,050

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Solution

The third proportional to 32,952 and 71,050 is: 153,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952 : 71,050 = 71,050 : x
  2. Step 2: Convert to fraction form
    32,952/71,050 = 71,050/x
  3. Step 3: Cross multiply
    32,952x = 71,050 × 71,050
  4. Step 4: Simplify right side
    32,952x = 5,048,102,500
  5. Step 5: Solve for x
    x = 5,048,102,500/32,952
  6. Step 6: Final answer
    x = 153,195.63

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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.