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Finding the Third Proportional to 14,752 and 22,843

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Solution

The third proportional to 14,752 and 22,843 is: 35,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752 : 22,843 = 22,843 : x
  2. Step 2: Convert to fraction form
    14,752/22,843 = 22,843/x
  3. Step 3: Cross multiply
    14,752x = 22,843 × 22,843
  4. Step 4: Simplify right side
    14,752x = 521,802,649
  5. Step 5: Solve for x
    x = 521,802,649/14,752
  6. Step 6: Final answer
    x = 35,371.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.