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Finding the Third Proportional to 19,844 and 30,712

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Solution

The third proportional to 19,844 and 30,712 is: 47,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844 : 30,712 = 30,712 : x
  2. Step 2: Convert to fraction form
    19,844/30,712 = 30,712/x
  3. Step 3: Cross multiply
    19,844x = 30,712 × 30,712
  4. Step 4: Simplify right side
    19,844x = 943,226,944
  5. Step 5: Solve for x
    x = 943,226,944/19,844
  6. Step 6: Final answer
    x = 47,532.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.