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Finding the Third Proportional to 10,342 and 17,106

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Solution

The third proportional to 10,342 and 17,106 is: 28,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342 : 17,106 = 17,106 : x
  2. Step 2: Convert to fraction form
    10,342/17,106 = 17,106/x
  3. Step 3: Cross multiply
    10,342x = 17,106 × 17,106
  4. Step 4: Simplify right side
    10,342x = 292,615,236
  5. Step 5: Solve for x
    x = 292,615,236/10,342
  6. Step 6: Final answer
    x = 28,293.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.