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Finding the Third Proportional to 19,742 and 29,312

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Solution

The third proportional to 19,742 and 29,312 is: 43,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 29,312 = 29,312 : x
  2. Step 2: Convert to fraction form
    19,742/29,312 = 29,312/x
  3. Step 3: Cross multiply
    19,742x = 29,312 × 29,312
  4. Step 4: Simplify right side
    19,742x = 859,193,344
  5. Step 5: Solve for x
    x = 859,193,344/19,742
  6. Step 6: Final answer
    x = 43,521.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.