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Finding the Third Proportional to 24,064 and 32,780

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Solution

The third proportional to 24,064 and 32,780 is: 44,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064 : 32,780 = 32,780 : x
  2. Step 2: Convert to fraction form
    24,064/32,780 = 32,780/x
  3. Step 3: Cross multiply
    24,064x = 32,780 × 32,780
  4. Step 4: Simplify right side
    24,064x = 1,074,528,400
  5. Step 5: Solve for x
    x = 1,074,528,400/24,064
  6. Step 6: Final answer
    x = 44,652.94

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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.