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Finding the Third Proportional to 12,157 and 19,046

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Solution

The third proportional to 12,157 and 19,046 is: 29,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157 : 19,046 = 19,046 : x
  2. Step 2: Convert to fraction form
    12,157/19,046 = 19,046/x
  3. Step 3: Cross multiply
    12,157x = 19,046 × 19,046
  4. Step 4: Simplify right side
    12,157x = 362,750,116
  5. Step 5: Solve for x
    x = 362,750,116/12,157
  6. Step 6: Final answer
    x = 29,838.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.