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Finding the Third Proportional to 12,528 and 19,823

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Solution

The third proportional to 12,528 and 19,823 is: 31,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528 : 19,823 = 19,823 : x
  2. Step 2: Convert to fraction form
    12,528/19,823 = 19,823/x
  3. Step 3: Cross multiply
    12,528x = 19,823 × 19,823
  4. Step 4: Simplify right side
    12,528x = 392,951,329
  5. Step 5: Solve for x
    x = 392,951,329/12,528
  6. Step 6: Final answer
    x = 31,365.85

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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.