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Finding the Third Proportional to 32,969 and 40,565

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Solution

The third proportional to 32,969 and 40,565 is: 49,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 40,565 = 40,565 : x
  2. Step 2: Convert to fraction form
    32,969/40,565 = 40,565/x
  3. Step 3: Cross multiply
    32,969x = 40,565 × 40,565
  4. Step 4: Simplify right side
    32,969x = 1,645,519,225
  5. Step 5: Solve for x
    x = 1,645,519,225/32,969
  6. Step 6: Final answer
    x = 49,911.11

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.