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Finding the Third Proportional to 24,632 and 35,904

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Solution

The third proportional to 24,632 and 35,904 is: 52,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632 : 35,904 = 35,904 : x
  2. Step 2: Convert to fraction form
    24,632/35,904 = 35,904/x
  3. Step 3: Cross multiply
    24,632x = 35,904 × 35,904
  4. Step 4: Simplify right side
    24,632x = 1,289,097,216
  5. Step 5: Solve for x
    x = 1,289,097,216/24,632
  6. Step 6: Final answer
    x = 52,334.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.