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Finding the Third Proportional to 24,082 and 32,807

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Solution

The third proportional to 24,082 and 32,807 is: 44,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082 : 32,807 = 32,807 : x
  2. Step 2: Convert to fraction form
    24,082/32,807 = 32,807/x
  3. Step 3: Cross multiply
    24,082x = 32,807 × 32,807
  4. Step 4: Simplify right side
    24,082x = 1,076,299,249
  5. Step 5: Solve for x
    x = 1,076,299,249/24,082
  6. Step 6: Final answer
    x = 44,693.10

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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.