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Finding the Third Proportional to 19,823 and 29,023

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Solution

The third proportional to 19,823 and 29,023 is: 42,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823 : 29,023 = 29,023 : x
  2. Step 2: Convert to fraction form
    19,823/29,023 = 29,023/x
  3. Step 3: Cross multiply
    19,823x = 29,023 × 29,023
  4. Step 4: Simplify right side
    19,823x = 842,334,529
  5. Step 5: Solve for x
    x = 842,334,529/19,823
  6. Step 6: Final answer
    x = 42,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.