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Finding the Third Proportional to 19,788 and 29,034

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Solution

The third proportional to 19,788 and 29,034 is: 42,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788 : 29,034 = 29,034 : x
  2. Step 2: Convert to fraction form
    19,788/29,034 = 29,034/x
  3. Step 3: Cross multiply
    19,788x = 29,034 × 29,034
  4. Step 4: Simplify right side
    19,788x = 842,973,156
  5. Step 5: Solve for x
    x = 842,973,156/19,788
  6. Step 6: Final answer
    x = 42,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.