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Finding the Third Proportional to 10,712.25 and 17,106.19

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Solution

The third proportional to 10,712.25 and 17,106.19 is: 27,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.25 : 17,106.19 = 17,106.19 : x
  2. Step 2: Convert to fraction form
    10,712.25/17,106.19 = 17,106.19/x
  3. Step 3: Cross multiply
    10,712.25x = 17,106.19 × 17,106.19
  4. Step 4: Simplify right side
    10,712.25x = 292,621,650.79
  5. Step 5: Solve for x
    x = 292,621,650.79/10,712.25
  6. Step 6: Final answer
    x = 27,316.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.