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Finding the Third Proportional to 20,496 and 32,590.50

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Solution

The third proportional to 20,496 and 32,590.50 is: 51,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496 : 32,590.50 = 32,590.50 : x
  2. Step 2: Convert to fraction form
    20,496/32,590.50 = 32,590.50/x
  3. Step 3: Cross multiply
    20,496x = 32,590.50 × 32,590.50
  4. Step 4: Simplify right side
    20,496x = 1,062,140,690.25
  5. Step 5: Solve for x
    x = 1,062,140,690.25/20,496
  6. Step 6: Final answer
    x = 51,821.85

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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.