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Finding the Third Proportional to 24,262 and 32,604

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Solution

The third proportional to 24,262 and 32,604 is: 43,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262 : 32,604 = 32,604 : x
  2. Step 2: Convert to fraction form
    24,262/32,604 = 32,604/x
  3. Step 3: Cross multiply
    24,262x = 32,604 × 32,604
  4. Step 4: Simplify right side
    24,262x = 1,063,020,816
  5. Step 5: Solve for x
    x = 1,063,020,816/24,262
  6. Step 6: Final answer
    x = 43,814.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.