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Finding the Third Proportional to 21,832.50 and 32,715

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Solution

The third proportional to 21,832.50 and 32,715 is: 49,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.50 : 32,715 = 32,715 : x
  2. Step 2: Convert to fraction form
    21,832.50/32,715 = 32,715/x
  3. Step 3: Cross multiply
    21,832.50x = 32,715 × 32,715
  4. Step 4: Simplify right side
    21,832.50x = 1,070,271,225
  5. Step 5: Solve for x
    x = 1,070,271,225/21,832.50
  6. Step 6: Final answer
    x = 49,021.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.