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Finding the Third Proportional to 13,283 and 19,139

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Solution

The third proportional to 13,283 and 19,139 is: 27,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283 : 19,139 = 19,139 : x
  2. Step 2: Convert to fraction form
    13,283/19,139 = 19,139/x
  3. Step 3: Cross multiply
    13,283x = 19,139 × 19,139
  4. Step 4: Simplify right side
    13,283x = 366,301,321
  5. Step 5: Solve for x
    x = 366,301,321/13,283
  6. Step 6: Final answer
    x = 27,576.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.