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Finding the Third Proportional to 24,164 and 32,516

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Solution

The third proportional to 24,164 and 32,516 is: 43,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164 : 32,516 = 32,516 : x
  2. Step 2: Convert to fraction form
    24,164/32,516 = 32,516/x
  3. Step 3: Cross multiply
    24,164x = 32,516 × 32,516
  4. Step 4: Simplify right side
    24,164x = 1,057,290,256
  5. Step 5: Solve for x
    x = 1,057,290,256/24,164
  6. Step 6: Final answer
    x = 43,754.77

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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.