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Finding the Third Proportional to 24,964 and 37,604

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Solution

The third proportional to 24,964 and 37,604 is: 56,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,964 : 37,604 = 37,604 : x
  2. Step 2: Convert to fraction form
    24,964/37,604 = 37,604/x
  3. Step 3: Cross multiply
    24,964x = 37,604 × 37,604
  4. Step 4: Simplify right side
    24,964x = 1,414,060,816
  5. Step 5: Solve for x
    x = 1,414,060,816/24,964
  6. Step 6: Final answer
    x = 56,644

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.