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Finding the Third Proportional to 24,064 and 33,088

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Solution

The third proportional to 24,064 and 33,088 is: 45,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064 : 33,088 = 33,088 : x
  2. Step 2: Convert to fraction form
    24,064/33,088 = 33,088/x
  3. Step 3: Cross multiply
    24,064x = 33,088 × 33,088
  4. Step 4: Simplify right side
    24,064x = 1,094,815,744
  5. Step 5: Solve for x
    x = 1,094,815,744/24,064
  6. Step 6: Final answer
    x = 45,496

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.