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Finding the Third Proportional to 1,709 and 4,136

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Solution

The third proportional to 1,709 and 4,136 is: 10,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709 : 4,136 = 4,136 : x
  2. Step 2: Convert to fraction form
    1,709/4,136 = 4,136/x
  3. Step 3: Cross multiply
    1,709x = 4,136 × 4,136
  4. Step 4: Simplify right side
    1,709x = 17,106,496
  5. Step 5: Solve for x
    x = 17,106,496/1,709
  6. Step 6: Final answer
    x = 10,009.65

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.