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Finding the Third Proportional to 16,528 and 32,225

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Solution

The third proportional to 16,528 and 32,225 is: 62,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528 : 32,225 = 32,225 : x
  2. Step 2: Convert to fraction form
    16,528/32,225 = 32,225/x
  3. Step 3: Cross multiply
    16,528x = 32,225 × 32,225
  4. Step 4: Simplify right side
    16,528x = 1,038,450,625
  5. Step 5: Solve for x
    x = 1,038,450,625/16,528
  6. Step 6: Final answer
    x = 62,829.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.