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Finding the Third Proportional to 12,534 and 19,848

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Solution

The third proportional to 12,534 and 19,848 is: 31,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 19,848 = 19,848 : x
  2. Step 2: Convert to fraction form
    12,534/19,848 = 19,848/x
  3. Step 3: Cross multiply
    12,534x = 19,848 × 19,848
  4. Step 4: Simplify right side
    12,534x = 393,943,104
  5. Step 5: Solve for x
    x = 393,943,104/12,534
  6. Step 6: Final answer
    x = 31,429.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.