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Finding the Third Proportional to 19,746 and 29,322

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Solution

The third proportional to 19,746 and 29,322 is: 43,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 29,322 = 29,322 : x
  2. Step 2: Convert to fraction form
    19,746/29,322 = 29,322/x
  3. Step 3: Cross multiply
    19,746x = 29,322 × 29,322
  4. Step 4: Simplify right side
    19,746x = 859,779,684
  5. Step 5: Solve for x
    x = 859,779,684/19,746
  6. Step 6: Final answer
    x = 43,541.97

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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.