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Finding the Third Proportional to 20,527 and 32,633

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Solution

The third proportional to 20,527 and 32,633 is: 51,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527 : 32,633 = 32,633 : x
  2. Step 2: Convert to fraction form
    20,527/32,633 = 32,633/x
  3. Step 3: Cross multiply
    20,527x = 32,633 × 32,633
  4. Step 4: Simplify right side
    20,527x = 1,064,912,689
  5. Step 5: Solve for x
    x = 1,064,912,689/20,527
  6. Step 6: Final answer
    x = 51,878.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.