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Finding the Third Proportional to 36,730 and 49,359

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Solution

The third proportional to 36,730 and 49,359 is: 66,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730 : 49,359 = 49,359 : x
  2. Step 2: Convert to fraction form
    36,730/49,359 = 49,359/x
  3. Step 3: Cross multiply
    36,730x = 49,359 × 49,359
  4. Step 4: Simplify right side
    36,730x = 2,436,310,881
  5. Step 5: Solve for x
    x = 2,436,310,881/36,730
  6. Step 6: Final answer
    x = 66,330.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.