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Finding the Third Proportional to 9,106 and 18,560

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Solution

The third proportional to 9,106 and 18,560 is: 37,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 18,560 = 18,560 : x
  2. Step 2: Convert to fraction form
    9,106/18,560 = 18,560/x
  3. Step 3: Cross multiply
    9,106x = 18,560 × 18,560
  4. Step 4: Simplify right side
    9,106x = 344,473,600
  5. Step 5: Solve for x
    x = 344,473,600/9,106
  6. Step 6: Final answer
    x = 37,829.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.