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Finding the Third Proportional to 17,658 and 29,322

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Solution

The third proportional to 17,658 and 29,322 is: 48,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 29,322 = 29,322 : x
  2. Step 2: Convert to fraction form
    17,658/29,322 = 29,322/x
  3. Step 3: Cross multiply
    17,658x = 29,322 × 29,322
  4. Step 4: Simplify right side
    17,658x = 859,779,684
  5. Step 5: Solve for x
    x = 859,779,684/17,658
  6. Step 6: Final answer
    x = 48,690.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.