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Finding the Third Proportional to 24,235 and 32,736

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Solution

The third proportional to 24,235 and 32,736 is: 44,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235 : 32,736 = 32,736 : x
  2. Step 2: Convert to fraction form
    24,235/32,736 = 32,736/x
  3. Step 3: Cross multiply
    24,235x = 32,736 × 32,736
  4. Step 4: Simplify right side
    24,235x = 1,071,645,696
  5. Step 5: Solve for x
    x = 1,071,645,696/24,235
  6. Step 6: Final answer
    x = 44,218.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.