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Finding the Third Proportional to 19,023 and 28,592

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Solution

The third proportional to 19,023 and 28,592 is: 42,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023 : 28,592 = 28,592 : x
  2. Step 2: Convert to fraction form
    19,023/28,592 = 28,592/x
  3. Step 3: Cross multiply
    19,023x = 28,592 × 28,592
  4. Step 4: Simplify right side
    19,023x = 817,502,464
  5. Step 5: Solve for x
    x = 817,502,464/19,023
  6. Step 6: Final answer
    x = 42,974.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.