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Finding the Third Proportional to 32,870.50 and 71,961

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Solution

The third proportional to 32,870.50 and 71,961 is: 157,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870.50 : 71,961 = 71,961 : x
  2. Step 2: Convert to fraction form
    32,870.50/71,961 = 71,961/x
  3. Step 3: Cross multiply
    32,870.50x = 71,961 × 71,961
  4. Step 4: Simplify right side
    32,870.50x = 5,178,385,521
  5. Step 5: Solve for x
    x = 5,178,385,521/32,870.50
  6. Step 6: Final answer
    x = 157,538.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.