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Finding the Third Proportional to 19,946 and 29,051

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Solution

The third proportional to 19,946 and 29,051 is: 42,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946 : 29,051 = 29,051 : x
  2. Step 2: Convert to fraction form
    19,946/29,051 = 29,051/x
  3. Step 3: Cross multiply
    19,946x = 29,051 × 29,051
  4. Step 4: Simplify right side
    19,946x = 843,960,601
  5. Step 5: Solve for x
    x = 843,960,601/19,946
  6. Step 6: Final answer
    x = 42,312.27

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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.