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Finding the Third Proportional to 8,970 and 18,942

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Solution

The third proportional to 8,970 and 18,942 is: 39,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970 : 18,942 = 18,942 : x
  2. Step 2: Convert to fraction form
    8,970/18,942 = 18,942/x
  3. Step 3: Cross multiply
    8,970x = 18,942 × 18,942
  4. Step 4: Simplify right side
    8,970x = 358,799,364
  5. Step 5: Solve for x
    x = 358,799,364/8,970
  6. Step 6: Final answer
    x = 39,999.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.