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Finding the Third Proportional to 11,752 and 16,709

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Solution

The third proportional to 11,752 and 16,709 is: 23,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752 : 16,709 = 16,709 : x
  2. Step 2: Convert to fraction form
    11,752/16,709 = 16,709/x
  3. Step 3: Cross multiply
    11,752x = 16,709 × 16,709
  4. Step 4: Simplify right side
    11,752x = 279,190,681
  5. Step 5: Solve for x
    x = 279,190,681/11,752
  6. Step 6: Final answer
    x = 23,756.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.