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Finding the Third Proportional to 12,157 and 17,802

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Solution

The third proportional to 12,157 and 17,802 is: 26,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157 : 17,802 = 17,802 : x
  2. Step 2: Convert to fraction form
    12,157/17,802 = 17,802/x
  3. Step 3: Cross multiply
    12,157x = 17,802 × 17,802
  4. Step 4: Simplify right side
    12,157x = 316,911,204
  5. Step 5: Solve for x
    x = 316,911,204/12,157
  6. Step 6: Final answer
    x = 26,068.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.