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Finding the Third Proportional to 24,812 and 37,447

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Solution

The third proportional to 24,812 and 37,447 is: 56,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812 : 37,447 = 37,447 : x
  2. Step 2: Convert to fraction form
    24,812/37,447 = 37,447/x
  3. Step 3: Cross multiply
    24,812x = 37,447 × 37,447
  4. Step 4: Simplify right side
    24,812x = 1,402,277,809
  5. Step 5: Solve for x
    x = 1,402,277,809/24,812
  6. Step 6: Final answer
    x = 56,516.11

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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.