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Finding the Third Proportional to 24,912 and 37,013

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Solution

The third proportional to 24,912 and 37,013 is: 54,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 37,013 = 37,013 : x
  2. Step 2: Convert to fraction form
    24,912/37,013 = 37,013/x
  3. Step 3: Cross multiply
    24,912x = 37,013 × 37,013
  4. Step 4: Simplify right side
    24,912x = 1,369,962,169
  5. Step 5: Solve for x
    x = 1,369,962,169/24,912
  6. Step 6: Final answer
    x = 54,992.06

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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.