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Finding the Third Proportional to 19,446 and 32,085

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Solution

The third proportional to 19,446 and 32,085 is: 52,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446 : 32,085 = 32,085 : x
  2. Step 2: Convert to fraction form
    19,446/32,085 = 32,085/x
  3. Step 3: Cross multiply
    19,446x = 32,085 × 32,085
  4. Step 4: Simplify right side
    19,446x = 1,029,447,225
  5. Step 5: Solve for x
    x = 1,029,447,225/19,446
  6. Step 6: Final answer
    x = 52,938.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.