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Finding the Third Proportional to 24,090 and 32,819

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Solution

The third proportional to 24,090 and 32,819 is: 44,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090 : 32,819 = 32,819 : x
  2. Step 2: Convert to fraction form
    24,090/32,819 = 32,819/x
  3. Step 3: Cross multiply
    24,090x = 32,819 × 32,819
  4. Step 4: Simplify right side
    24,090x = 1,077,086,761
  5. Step 5: Solve for x
    x = 1,077,086,761/24,090
  6. Step 6: Final answer
    x = 44,710.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.