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Finding the Third Proportional to 19,730 and 31,395

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Solution

The third proportional to 19,730 and 31,395 is: 49,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730 : 31,395 = 31,395 : x
  2. Step 2: Convert to fraction form
    19,730/31,395 = 31,395/x
  3. Step 3: Cross multiply
    19,730x = 31,395 × 31,395
  4. Step 4: Simplify right side
    19,730x = 985,646,025
  5. Step 5: Solve for x
    x = 985,646,025/19,730
  6. Step 6: Final answer
    x = 49,956.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.