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Finding the Third Proportional to 24,080 and 32,804

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Solution

The third proportional to 24,080 and 32,804 is: 44,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080 : 32,804 = 32,804 : x
  2. Step 2: Convert to fraction form
    24,080/32,804 = 32,804/x
  3. Step 3: Cross multiply
    24,080x = 32,804 × 32,804
  4. Step 4: Simplify right side
    24,080x = 1,076,102,416
  5. Step 5: Solve for x
    x = 1,076,102,416/24,080
  6. Step 6: Final answer
    x = 44,688.64

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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.