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Finding the Third Proportional to 24,978 and 37,335

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Solution

The third proportional to 24,978 and 37,335 is: 55,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978 : 37,335 = 37,335 : x
  2. Step 2: Convert to fraction form
    24,978/37,335 = 37,335/x
  3. Step 3: Cross multiply
    24,978x = 37,335 × 37,335
  4. Step 4: Simplify right side
    24,978x = 1,393,902,225
  5. Step 5: Solve for x
    x = 1,393,902,225/24,978
  6. Step 6: Final answer
    x = 55,805.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.