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Finding the Third Proportional to 12,429 and 19,202

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Solution

The third proportional to 12,429 and 19,202 is: 29,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 19,202 = 19,202 : x
  2. Step 2: Convert to fraction form
    12,429/19,202 = 19,202/x
  3. Step 3: Cross multiply
    12,429x = 19,202 × 19,202
  4. Step 4: Simplify right side
    12,429x = 368,716,804
  5. Step 5: Solve for x
    x = 368,716,804/12,429
  6. Step 6: Final answer
    x = 29,665.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.